10131323100311 has 32 divisors (see below), whose sum is σ = 11947926681600. Its totient is φ = 8410155505920.

The previous prime is 10131323100299. The next prime is 10131323100313. The reversal of 10131323100311 is 11300132313101.

It is not a de Polignac number, because 10131323100311 - 2⁶ = 10131323100247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131323100313) 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, 512734850 + ... + 512754608.

It is an arithmetic number, because the mean of its divisors is an integer number (373372708800).

Almost surely, 2^{10131323100311} is an apocalyptic number.

10131323100311 is a deficient number, since it is larger than the sum of its proper divisors (1816603581289).

10131323100311 is a wasteful number, since it uses less digits than its factorization.

10131323100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10131323100311 its reverse (11300132313101), we get a palindrome (21431455413412).

The spelling of 10131323100311 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred thousand, three hundred eleven".