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13102331313113 = 723835417181003
BaseRepresentation
bin1011111010101001111111…
…0011011011101111011001
31201101120101222220211220022
42332222133303123233121
53204132033304004423
643511043343440225
72521416661406210
oct276523763335731
951346358824808
1013102331313113
1141a17384a3949
1215773a02b6075
13740710484873
14334228946077
1517ac4d3cadc8
hexbea9fcdbbd9

13102331313113 has 32 divisors (see below), whose sum is σ = 15816401750016. Its totient is φ = 10610841149568.

The previous prime is 13102331313101. The next prime is 13102331313151. The reversal of 13102331313113 is 31131313320131.

It is a cyclic number.

It is not a de Polignac number, because 13102331313113 - 218 = 13102331050969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13102331313013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72296870 + ... + 72477872.

It is an arithmetic number, because the mean of its divisors is an integer number (494262554688).

Almost surely, 213102331313113 is an apocalyptic number.

It is an amenable number.

13102331313113 is a deficient number, since it is larger than the sum of its proper divisors (2714070436903).

13102331313113 is a wasteful number, since it uses less digits than its factorization.

13102331313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186533.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13102331313113 its reverse (31131313320131), we get a palindrome (44233644633244).

The spelling of 13102331313113 in words is "thirteen trillion, one hundred two billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 7 23 83 161 581 1909 5417 13363 37919 124591 181003 449611 872137 1267021 3147277 4163069 10341053 15023249 29141483 72387371 105162743 345534727 980493251 2418743089 6863452757 22551344773 81380939833 157859413411 569666578831 1871761616159 13102331313113