2113013257 has 2 divisors, whose sum is σ = 2113013258. Its totient is φ = 2113013256.

The previous prime is 2113013219. The next prime is 2113013293. The reversal of 2113013257 is 7523103112.

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., 2041593856 + 71419401 = 45184^2 + 8451^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113013257 - 2¹⁵ = 2112980489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113013297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056506628 + 1056506629.

It is an arithmetic number, because the mean of its divisors is an integer number (1056506629).

Almost surely, 2^2113013257 is an apocalyptic number.

It is an amenable number.

2113013257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113013257 is an equidigital number, since it uses as much as digits as its factorization.

2113013257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2113013257 is about 45967.5239381022. The cubic root of 2113013257 is about 1283.2188795362.

Adding to 2113013257 its reverse (7523103112), we get a palindrome (9636116369).

The spelling of 2113013257 in words is "two billion, one hundred thirteen million, thirteen thousand, two hundred fifty-seven".