13114334014337 has 2 divisors, whose sum is σ = 13114334014338. Its totient is φ = 13114334014336.

The previous prime is 13114334014277. The next prime is 13114334014357. The reversal of 13114334014337 is 73341043341131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13109149870336 + 5184144001 = 3620656^2 + 72001^2 .

It is a cyclic number.

It is not a de Polignac number, because 13114334014337 - 2⁶ = 13114334014273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13114334014337.

It is not a weakly prime, because it can be changed into another prime (13114334014357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6557167007168 + 6557167007169.

It is an arithmetic number, because the mean of its divisors is an integer number (6557167007169).

Almost surely, 2^{13114334014337} is an apocalyptic number.

It is an amenable number.

13114334014337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13114334014337 is an equidigital number, since it uses as much as digits as its factorization.

13114334014337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 38.

Adding to 13114334014337 its reverse (73341043341131), we get a palindrome (86455377355468).

The spelling of 13114334014337 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, fourteen thousand, three hundred thirty-seven".