13059138376733 has 2 divisors, whose sum is σ = 13059138376734. Its totient is φ = 13059138376732.

The previous prime is 13059138376621. The next prime is 13059138376751. The reversal of 13059138376733 is 33767383195031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12999067798084 + 60070578649 = 3605422^2 + 245093^2 .

It is a cyclic number.

It is not a de Polignac number, because 13059138376733 - 2³⁸ = 12784260469789 is a prime.

It is a super-2 number, since 2×13059138376733² (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 (13059138376433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6529569188366 + 6529569188367.

It is an arithmetic number, because the mean of its divisors is an integer number (6529569188367).

Almost surely, 2^{13059138376733} is an apocalyptic number.

It is an amenable number.

13059138376733 is a deficient number, since it is larger than the sum of its proper divisors (1).

13059138376733 is an equidigital number, since it uses as much as digits as its factorization.

13059138376733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25719120, while the sum is 59.

The spelling of 13059138376733 in words is "thirteen trillion, fifty-nine billion, one hundred thirty-eight million, three hundred seventy-six thousand, seven hundred thirty-three".