2120131313101 has 6 divisors (see below), whose sum is σ = 2252181014570. Its totient is φ = 1995417706176.

The previous prime is 2120131313093. The next prime is 2120131313117. The reversal of 2120131313101 is 1013131310212.

It can be written as a sum of positive squares in 3 ways, for example, as 1494567375625 + 625563937476 = 1222525^2 + 790926^2 .

It is not a de Polignac number, because 2120131313101 - 2³ = 2120131313093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120131313161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3668046966 + ... + 3668047543.

Almost surely, 2^{2120131313101} is an apocalyptic number.

It is an amenable number.

2120131313101 is a deficient number, since it is larger than the sum of its proper divisors (132049701469).

2120131313101 is an equidigital number, since it uses as much as digits as its factorization.

2120131313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336094543 (or 7336094526 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2120131313101 its reverse (1013131310212), we get a palindrome (3133262623313).

The spelling of 2120131313101 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred one".