13120013101093 has 2 divisors, whose sum is σ = 13120013101094. Its totient is φ = 13120013101092.

The previous prime is 13120013101043. The next prime is 13120013101127. The reversal of 13120013101093 is 39010131002131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12906034695009 + 213978406084 = 3592497^2 + 462578^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120013101093 - 2¹⁷ = 13120012970021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13120013101043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560006550546 + 6560006550547.

It is an arithmetic number, because the mean of its divisors is an integer number (6560006550547).

Almost surely, 2^{13120013101093} is an apocalyptic number.

It is an amenable number.

13120013101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120013101093 is an equidigital number, since it uses as much as digits as its factorization.

13120013101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 13120013101093 in words is "thirteen trillion, one hundred twenty billion, thirteen million, one hundred one thousand, ninety-three".