10131102310013 has 32 divisors (see below), whose sum is σ = 10839485961216. Its totient is φ = 9448175011968.

The previous prime is 10131102310009. The next prime is 10131102310037. The reversal of 10131102310013 is 31001320113101.

It is a cyclic number.

It is not a de Polignac number, because 10131102310013 - 2² = 10131102310009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131102309973 and 10131102310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131102310073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185140745 + ... + 185195457.

It is an arithmetic number, because the mean of its divisors is an integer number (338733936288).

Almost surely, 2^{10131102310013} is an apocalyptic number.

It is an amenable number.

10131102310013 is a deficient number, since it is larger than the sum of its proper divisors (708383651203).

10131102310013 is a wasteful number, since it uses less digits than its factorization.

10131102310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56033.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131102310013 its reverse (31001320113101), we get a palindrome (41132422423114).

The spelling of 10131102310013 in words is "ten trillion, one hundred thirty-one billion, one hundred two million, three hundred ten thousand, thirteen".