2113133101 has 2 divisors, whose sum is σ = 2113133102. Its totient is φ = 2113133100.

The previous prime is 2113133083. The next prime is 2113133129. The reversal of 2113133101 is 1013313112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2111310601 + 1822500 = 45949^2 + 1350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113133101 - 2²³ = 2104744493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113133131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056566550 + 1056566551.

It is an arithmetic number, because the mean of its divisors is an integer number (1056566551).

Almost surely, 2^2113133101 is an apocalyptic number.

It is an amenable number.

2113133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113133101 is an equidigital number, since it uses as much as digits as its factorization.

2113133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2113133101 is about 45968.8274921169. The cubic root of 2113133101 is about 1283.2431392319.

Adding to 2113133101 its reverse (1013313112), we get a palindrome (3126446213).

The spelling of 2113133101 in words is "two billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred one".