101001011100131 has 2 divisors, whose sum is σ = 101001011100132. Its totient is φ = 101001011100130.

The previous prime is 101001011100097. The next prime is 101001011100161. The reversal of 101001011100131 is 131001110100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101001011100131 - 2³⁸ = 100726133193187 is a prime.

It is a super-2 number, since 2×101001011100131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101001011100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505550065 + 50500505550066.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505550066).

Almost surely, 2^{101001011100131} is an apocalyptic number.

101001011100131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011100131 is an equidigital number, since it uses as much as digits as its factorization.

101001011100131 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 11.

Adding to 101001011100131 its reverse (131001110100101), we get a palindrome (232002121200232).

The spelling of 101001011100131 in words is "one hundred one trillion, one billion, eleven million, one hundred thousand, one hundred thirty-one".