2120131313093 has 2 divisors, whose sum is σ = 2120131313094. Its totient is φ = 2120131313092.

The previous prime is 2120131312993. The next prime is 2120131313117. The reversal of 2120131313093 is 3903131310212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1378503765409 + 741627547684 = 1174097^2 + 861178^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120131313093 - 2³⁴ = 2102951443909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120131313693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060065656546 + 1060065656547.

It is an arithmetic number, because the mean of its divisors is an integer number (1060065656547).

Almost surely, 2^{2120131313093} is an apocalyptic number.

It is an amenable number.

2120131313093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120131313093 is an equidigital number, since it uses as much as digits as its factorization.

2120131313093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 2120131313093 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand, ninety-three".