2513132101 has 2 divisors, whose sum is σ = 2513132102. Its totient is φ = 2513132100.

The previous prime is 2513132059. The next prime is 2513132113. The reversal of 2513132101 is 1012313152.

2513132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2500100001 + 13032100 = 50001^2 + 3610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513132101 - 2²⁵ = 2479577669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513132701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256566050 + 1256566051.

It is an arithmetic number, because the mean of its divisors is an integer number (1256566051).

Almost surely, 2^2513132101 is an apocalyptic number.

It is an amenable number.

2513132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513132101 is an equidigital number, since it uses as much as digits as its factorization.

2513132101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2513132101 is about 50131.1490093734. The cubic root of 2513132101 is about 1359.5810598669.

Adding to 2513132101 its reverse (1012313152), we get a palindrome (3525445253).

The spelling of 2513132101 in words is "two billion, five hundred thirteen million, one hundred thirty-two thousand, one hundred one".