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13121133042303 = 3211132784240813
BaseRepresentation
bin1011111011110000000001…
…1110010101101001111111
31201110100221022200122121200
42332330000132111221333
53204434040024323203
643523433150030543
72522653623436206
oct276740036255177
951410838618550
1013121133042303
1141a9706598310
12157ab68aa8453
13742418822100
143350cda2c23d
1517b49dd4d9a3
hexbef00795a7f

13121133042303 has 36 divisors (see below), whose sum is σ = 22388506758072. Its totient is φ = 7340494000320.

The previous prime is 13121133042301. The next prime is 13121133042359. The reversal of 13121133042303 is 30324033112131.

13121133042303 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 1 + 330 + 4 + 2 + 303 = 666.

It is not a de Polignac number, because 13121133042303 - 21 = 13121133042301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121133042301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392103676 + ... + 392137137.

It is an arithmetic number, because the mean of its divisors is an integer number (621902965502).

Almost surely, 213121133042303 is an apocalyptic number.

13121133042303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13121133042303 is a deficient number, since it is larger than the sum of its proper divisors (9267373715769).

13121133042303 is a wasteful number, since it uses less digits than its factorization.

13121133042303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784240856 (or 784240840 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13121133042303 its reverse (30324033112131), we get a palindrome (43445166154434).

The spelling of 13121133042303 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, forty-two thousand, three hundred three".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 16731 784240813 2352722439 7058167317 8626648943 10195130569 25879946829 30585391707 77639840487 91756175121 112146436259 132536697397 336439308777 397610092191 1009317926331 1192830276573 1457903671367 4373711014101 13121133042303