101012312131 has 2 divisors, whose sum is σ = 101012312132. Its totient is φ = 101012312130.

The previous prime is 101012312117. The next prime is 101012312153. The reversal of 101012312131 is 131213210101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101012312131 - 2⁵ = 101012312099 is a prime.

It is a super-2 number, since 2×101012312131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012312161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506156065 + 50506156066.

It is an arithmetic number, because the mean of its divisors is an integer number (50506156066).

Almost surely, 2^101012312131 is an apocalyptic number.

101012312131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012312131 is an equidigital number, since it uses as much as digits as its factorization.

101012312131 is an evil number, because the sum of its binary digits is even.

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

Adding to 101012312131 its reverse (131213210101), we get a palindrome (232225522232).

It can be divided in two parts, 10101 and 2312131, that added together give a palindrome (2322232).

The spelling of 101012312131 in words is "one hundred one billion, twelve million, three hundred twelve thousand, one hundred thirty-one".