13120113013001 has 2 divisors, whose sum is σ = 13120113013002. Its totient is φ = 13120113013000.

The previous prime is 13120113012971. The next prime is 13120113013027. The reversal of 13120113013001 is 10031031102131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12891223489225 + 228889523776 = 3590435^2 + 478424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13120113013001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13120113013031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560056506500 + 6560056506501.

It is an arithmetic number, because the mean of its divisors is an integer number (6560056506501).

Almost surely, 2^{13120113013001} is an apocalyptic number.

It is an amenable number.

13120113013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120113013001 is an equidigital number, since it uses as much as digits as its factorization.

13120113013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13120113013001 its reverse (10031031102131), we get a palindrome (23151144115132).

The spelling of 13120113013001 in words is "thirteen trillion, one hundred twenty billion, one hundred thirteen million, thirteen thousand, one".