13131110101331 has 2 divisors, whose sum is σ = 13131110101332. Its totient is φ = 13131110101330.

The previous prime is 13131110101309. The next prime is 13131110101357. The reversal of 13131110101331 is 13310101113131.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131110101331 is a prime.

It is a super-2 number, since 2×13131110101331² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13131110101531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565555050665 + 6565555050666.

It is an arithmetic number, because the mean of its divisors is an integer number (6565555050666).

Almost surely, 2^{13131110101331} is an apocalyptic number.

13131110101331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131110101331 is an equidigital number, since it uses as much as digits as its factorization.

13131110101331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 13131110101331 its reverse (13310101113131), we get a palindrome (26441211214462).

The spelling of 13131110101331 in words is "thirteen trillion, one hundred thirty-one billion, one hundred ten million, one hundred one thousand, three hundred thirty-one".