13101110131 has 8 divisors (see below), whose sum is σ = 13145112000. Its totient is φ = 13057175040.

The previous prime is 13101110089. The next prime is 13101110171.

13101110131 is nontrivially palindromic in base 10.

13101110131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13101110131 - 2⁷ = 13101110003 is a prime.

It is a super-2 number, since 2×13101110131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393025 + ... + 425053.

It is an arithmetic number, because the mean of its divisors is an integer number (1643139000).

Almost surely, 2^13101110131 is an apocalyptic number.

13101110131 is a deficient number, since it is larger than the sum of its proper divisors (44001869).

13101110131 is an equidigital number, since it uses as much as digits as its factorization.

13101110131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33389.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 13101110131 in words is "thirteen billion, one hundred one million, one hundred ten thousand, one hundred thirty-one".