100312010131 has 2 divisors, whose sum is σ = 100312010132. Its totient is φ = 100312010130.

The previous prime is 100312010129. The next prime is 100312010153. The reversal of 100312010131 is 131010213001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100312010131 - 2¹ = 100312010129 is a prime.

It is a super-2 number, since 2×100312010131² (a number of 23 digits) contains 22 as substring.

Together with 100312010129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100312010111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156005065 + 50156005066.

It is an arithmetic number, because the mean of its divisors is an integer number (50156005066).

Almost surely, 2^100312010131 is an apocalyptic number.

100312010131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312010131 is an equidigital number, since it uses as much as digits as its factorization.

100312010131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100312010131 its reverse (131010213001), we get a palindrome (231322223132).

The spelling of 100312010131 in words is "one hundred billion, three hundred twelve million, ten thousand, one hundred thirty-one".