13101313001131 has 16 divisors (see below), whose sum is σ = 13929259348800. Its totient is φ = 12294906624000.

The previous prime is 13101313001113. The next prime is 13101313001137. The reversal of 13101313001131 is 13110031310131.

It is a cyclic number.

It is not a de Polignac number, because 13101313001131 - 2⁷ = 13101313001003 is a prime.

It is a super-2 number, since 2×13101313001131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101313001099 and 13101313001108.

It is not an unprimeable number, because it can be changed into a prime (13101313001137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51863131 + ... + 52115131.

It is an arithmetic number, because the mean of its divisors is an integer number (870578709300).

Almost surely, 2^{13101313001131} is an apocalyptic number.

13101313001131 is a deficient number, since it is larger than the sum of its proper divisors (827946347669).

13101313001131 is a wasteful number, since it uses less digits than its factorization.

13101313001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294726.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 13101313001131 its reverse (13110031310131), we get a palindrome (26211344311262).

The spelling of 13101313001131 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, one thousand, one hundred thirty-one".