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13321331101032 = 23319197148291601
BaseRepresentation
bin1100000111011001110100…
…1101010100110101101000
31202011111200110122202121120
43001312131031110311220
53221224041230213112
644155422433135240
72543302001034003
oct301663515246550
952144613582546
1013321331101032
1142765aa135a09
1215b191a9ba520
13758271b98aa6
14340a8214853a
151817b9896e8c
hexc1d9d354d68

13321331101032 has 64 divisors (see below), whose sum is σ = 35234084635200. Its totient is φ = 4185382118400.

The previous prime is 13321331101021. The next prime is 13321331101061. The reversal of 13321331101032 is 23010113312331.

13321331101032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13321331100993 and 13321331101011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74055969 + ... + 74235632.

It is an arithmetic number, because the mean of its divisors is an integer number (550532572425).

Almost surely, 213321331101032 is an apocalyptic number.

13321331101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321331101032 is an abundant number, since it is smaller than the sum of its proper divisors (21912753534168).

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

13321331101032 is a wasteful number, since it uses less digits than its factorization.

13321331101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148291826 (or 148291822 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13321331101032 its reverse (23010113312331), we get a palindrome (36331444413363).

The spelling of 13321331101032 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 197 228 394 456 591 788 1182 1576 2364 3743 4728 7486 11229 14972 22458 29944 44916 89832 148291601 296583202 444874803 593166404 889749606 1186332808 1779499212 2817540419 3558998424 5635080838 8452621257 11270161676 16905242514 22540323352 29213445397 33810485028 58426890794 67620970056 87640336191 116853781588 175280672382 233707563176 350561344764 555055462543 701122689528 1110110925086 1665166387629 2220221850172 3330332775258 4440443700344 6660665550516 13321331101032