10100131021313 has 64 divisors (see below), whose sum is σ = 10948608000000. Its totient is φ = 9289364249088.

The previous prime is 10100131021261. The next prime is 10100131021327. The reversal of 10100131021313 is 31312013100101.

It is a cyclic number.

It is not a de Polignac number, because 10100131021313 - 2⁶ = 10100131021249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100131021291 and 10100131021300.

It is not an unprimeable number, because it can be changed into a prime (10100131021373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14047469768 + ... + 14047470486.

It is an arithmetic number, because the mean of its divisors is an integer number (171072000000).

Almost surely, 2^{10100131021313} is an apocalyptic number.

It is an amenable number.

10100131021313 is a deficient number, since it is larger than the sum of its proper divisors (848476978687).

10100131021313 is a wasteful number, since it uses less digits than its factorization.

10100131021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542.

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

Adding to 10100131021313 its reverse (31312013100101), we get a palindrome (41412144121414).

The spelling of 10100131021313 in words is "ten trillion, one hundred billion, one hundred thirty-one million, twenty-one thousand, three hundred thirteen".