311441110401131 has 2 divisors, whose sum is σ = 311441110401132. Its totient is φ = 311441110401130.

The previous prime is 311441110401079. The next prime is 311441110401149. The reversal of 311441110401131 is 131104011144113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311441110401131 - 2³⁰ = 311440036659307 is a prime.

It is a super-2 number, since 2×311441110401131² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311441110401131.

It is not a weakly prime, because it can be changed into another prime (311441110400131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720555200565 + 155720555200566.

It is an arithmetic number, because the mean of its divisors is an integer number (155720555200566).

Almost surely, 2^{311441110401131} is an apocalyptic number.

311441110401131 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441110401131 is an equidigital number, since it uses as much as digits as its factorization.

311441110401131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 311441110401131 its reverse (131104011144113), we get a palindrome (442545121545244).

The spelling of 311441110401131 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred ten million, four hundred one thousand, one hundred thirty-one".