13031100133313 has 2 divisors, whose sum is σ = 13031100133314. Its totient is φ = 13031100133312.

The previous prime is 13031100133283. The next prime is 13031100133319. The reversal of 13031100133313 is 31333100113031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9374025260209 + 3657074873104 = 3061703^2 + 1912348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031100133313 - 2²⁰ = 13031099084737 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031100133319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515550066656 + 6515550066657.

It is an arithmetic number, because the mean of its divisors is an integer number (6515550066657).

Almost surely, 2^{13031100133313} is an apocalyptic number.

It is an amenable number.

13031100133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031100133313 is an equidigital number, since it uses as much as digits as its factorization.

13031100133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13031100133313 its reverse (31333100113031), we get a palindrome (44364200246344).

The spelling of 13031100133313 in words is "thirteen trillion, thirty-one billion, one hundred million, one hundred thirty-three thousand, three hundred thirteen".