13031204131117 has 2 divisors, whose sum is σ = 13031204131118. Its totient is φ = 13031204131116.

The previous prime is 13031204131097. The next prime is 13031204131123. The reversal of 13031204131117 is 71113140213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13028446936036 + 2757195081 = 3609494^2 + 52509^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031204131117 - 2³⁹ = 12481448317229 is a prime.

It is a super-2 number, since 2×13031204131117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13031204131217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515602065558 + 6515602065559.

It is an arithmetic number, because the mean of its divisors is an integer number (6515602065559).

Almost surely, 2^{13031204131117} is an apocalyptic number.

It is an amenable number.

13031204131117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031204131117 is an equidigital number, since it uses as much as digits as its factorization.

13031204131117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 13031204131117 its reverse (71113140213031), we get a palindrome (84144344344148).

The spelling of 13031204131117 in words is "thirteen trillion, thirty-one billion, two hundred four million, one hundred thirty-one thousand, one hundred seventeen".