10100131 has 2 divisors, whose sum is σ = 10100132. Its totient is φ = 10100130.

The previous prime is 10100117. The next prime is 10100147. The reversal of 10100131 is 13100101.

It is a happy number.

10100131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100131 - 2⁵ = 10100099 is a prime.

It is a super-2 number, since 2×10100131² = 204025292434322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050065 + 5050066.

It is an arithmetic number, because the mean of its divisors is an integer number (5050066).

Almost surely, 2^10100131 is an apocalyptic number.

10100131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100131 is an equidigital number, since it uses as much as digits as its factorization.

10100131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 10100131 is about 3178.0703264717. The cubic root of 10100131 is about 216.1601678403.

Adding to 10100131 its reverse (13100101), we get a palindrome (23200232).

The spelling of 10100131 in words is "ten million, one hundred thousand, one hundred thirty-one".