2513112101 has 2 divisors, whose sum is σ = 2513112102. Its totient is φ = 2513112100.

The previous prime is 2513112079. The next prime is 2513112109. The reversal of 2513112101 is 1012113152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2460259201 + 52852900 = 49601^2 + 7270^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513112101 - 2¹⁸ = 2512849957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2513112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256556050 + 1256556051.

It is an arithmetic number, because the mean of its divisors is an integer number (1256556051).

Almost surely, 2^2513112101 is an apocalyptic number.

It is an amenable number.

2513112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513112101 is an equidigital number, since it uses as much as digits as its factorization.

2513112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 2513112101 is about 50130.9495322002. The cubic root of 2513112101 is about 1359.5774532527.

Adding to 2513112101 its reverse (1012113152), we get a palindrome (3525225253).

The spelling of 2513112101 in words is "two billion, five hundred thirteen million, one hundred twelve thousand, one hundred one".