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13121133210020 = 22511509909112889
BaseRepresentation
bin1011111011110000000001…
…1110111110100110100100
31201110100221100000011200102
42332330000132332212210
53204434040100210040
643523433153403232
72522653625035163
oct276740036764644
951410840004612
1013121133210020
1141a97066a2320
12157ab68b69518
13742418880554
143350cda733da
1517b49dd83515
hexbef007be9a4

13121133210020 has 96 divisors (see below), whose sum is σ = 30124028995200. Its totient is φ = 4761054028800.

The previous prime is 13121133210001. The next prime is 13121133210067. The reversal of 13121133210020 is 2001233112131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13121133209974 and 13121133210001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018003736 + ... + 1018016624.

It is an arithmetic number, because the mean of its divisors is an integer number (313791968700).

Almost surely, 213121133210020 is an apocalyptic number.

13121133210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121133210020 is an abundant number, since it is smaller than the sum of its proper divisors (17002895785180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121133210020 is a wasteful number, since it uses less digits than its factorization.

13121133210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22509 (or 22507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13121133210020 its reverse (2001233112131), we get a palindrome (15122366322151).

The spelling of 13121133210020 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 509 1018 2036 2545 5090 5599 9091 10180 11198 12889 18182 22396 25778 27995 36364 45455 51556 55990 64445 90910 100001 111980 128890 141779 181820 200002 257780 283558 400004 500005 567116 708895 1000010 1417790 2000020 2835580 4627319 6560501 9254638 13121002 18509276 23136595 26242004 32802505 46273190 50900509 65605010 72165511 92546380 101801018 117173899 131210020 144331022 203602036 234347798 254502545 288662044 360827555 468695596 509005090 585869495 721655110 1018010180 1171738990 1288912889 1443310220 2343477980 2577825778 5155651556 6444564445 12889128890 25778257780 59641514591 119283029182 238566058364 298207572955 596415145910 656056660501 1192830291820 1312113321002 2624226642004 3280283302505 6560566605010 13121133210020