101310411131 has 2 divisors, whose sum is σ = 101310411132. Its totient is φ = 101310411130.

The previous prime is 101310411113. The next prime is 101310411179. The reversal of 101310411131 is 131114013101.

Together with previous prime (101310411113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (131114013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101310411131 - 2¹⁸ = 101310148987 is a prime.

It is a super-2 number, since 2×101310411131² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (101310411101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655205565 + 50655205566.

It is an arithmetic number, because the mean of its divisors is an integer number (50655205566).

Almost surely, 2^101310411131 is an apocalyptic number.

101310411131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310411131 is an equidigital number, since it uses as much as digits as its factorization.

101310411131 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 17.

Adding to 101310411131 its reverse (131114013101), we get a palindrome (232424424232).

The spelling of 101310411131 in words is "one hundred one billion, three hundred ten million, four hundred eleven thousand, one hundred thirty-one".