2113113331201 has 2 divisors, whose sum is σ = 2113113331202. Its totient is φ = 2113113331200.

The previous prime is 2113113331129. The next prime is 2113113331229. The reversal of 2113113331201 is 1021333113112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107502572176 + 5610759025 = 1451724^2 + 74905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113113331201 - 2⁷ = 2113113331073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113113338201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056556665600 + 1056556665601.

It is an arithmetic number, because the mean of its divisors is an integer number (1056556665601).

Almost surely, 2^{2113113331201} is an apocalyptic number.

It is an amenable number.

2113113331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113113331201 is an equidigital number, since it uses as much as digits as its factorization.

2113113331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2113113331201 its reverse (1021333113112), we get a palindrome (3134446444313).

The spelling of 2113113331201 in words is "two trillion, one hundred thirteen billion, one hundred thirteen million, three hundred thirty-one thousand, two hundred one".