2120011130113 has 2 divisors, whose sum is σ = 2120011130114. Its totient is φ = 2120011130112.

The previous prime is 2120011130101. The next prime is 2120011130123. The reversal of 2120011130113 is 3110311100212.

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., 1551362418369 + 568648711744 = 1245537^2 + 754088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120011130113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120011130123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060005565056 + 1060005565057.

It is an arithmetic number, because the mean of its divisors is an integer number (1060005565057).

Almost surely, 2^{2120011130113} is an apocalyptic number.

It is an amenable number.

2120011130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120011130113 is an equidigital number, since it uses as much as digits as its factorization.

2120011130113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2120011130113 its reverse (3110311100212), we get a palindrome (5230322230325).

The spelling of 2120011130113 in words is "two trillion, one hundred twenty billion, eleven million, one hundred thirty thousand, one hundred thirteen".