13291137828833 has 2 divisors, whose sum is σ = 13291137828834. Its totient is φ = 13291137828832.

The previous prime is 13291137828821. The next prime is 13291137828883. The reversal of 13291137828833 is 33882873119231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9750181110784 + 3540956718049 = 3122528^2 + 1881743^2 .

It is a cyclic number.

It is not a de Polignac number, because 13291137828833 - 2⁴ = 13291137828817 is a prime.

It is a super-2 number, since 2×13291137828833² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13291137828883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6645568914416 + 6645568914417.

It is an arithmetic number, because the mean of its divisors is an integer number (6645568914417).

Almost surely, 2^{13291137828833} is an apocalyptic number.

It is an amenable number.

13291137828833 is a deficient number, since it is larger than the sum of its proper divisors (1).

13291137828833 is an equidigital number, since it uses as much as digits as its factorization.

13291137828833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10450944, while the sum is 59.

The spelling of 13291137828833 in words is "thirteen trillion, two hundred ninety-one billion, one hundred thirty-seven million, eight hundred twenty-eight thousand, eight hundred thirty-three".