10100312012131 has 16 divisors (see below), whose sum is σ = 11056337008128. Its totient is φ = 9150612213600.

The previous prime is 10100312012117. The next prime is 10100312012191. The reversal of 10100312012131 is 13121021300101.

It is a happy number.

10100312012131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100312012131 - 2⁹ = 10100312011619 is a prime.

It is a super-2 number, since 2×10100312012131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100312012101) 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, 8342701 + ... + 9476353.

It is an arithmetic number, because the mean of its divisors is an integer number (691021063008).

Almost surely, 2^{10100312012131} is an apocalyptic number.

10100312012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100312012131 is a deficient number, since it is larger than the sum of its proper divisors (956024995997).

10100312012131 is a wasteful number, since it uses less digits than its factorization.

10100312012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136442.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10100312012131 its reverse (13121021300101), we get a palindrome (23221333312232).

The spelling of 10100312012131 in words is "ten trillion, one hundred billion, three hundred twelve million, twelve thousand, one hundred thirty-one".