10010000100131 has 2 divisors, whose sum is σ = 10010000100132. Its totient is φ = 10010000100130.

The previous prime is 10010000100109. The next prime is 10010000100143. The reversal of 10010000100131 is 13100100001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10010000100131 - 2³⁰ = 10008926358307 is a prime.

It is a super-2 number, since 2×10010000100131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010000100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000050065 + 5005000050066.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000050066).

Almost surely, 2^{10010000100131} is an apocalyptic number.

10010000100131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000100131 is an equidigital number, since it uses as much as digits as its factorization.

10010000100131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10010000100131 its reverse (13100100001001), we get a palindrome (23110100101132).

The spelling of 10010000100131 in words is "ten trillion, ten billion, one hundred thousand, one hundred thirty-one".