2513513103213 has 128 divisors (see below), whose sum is σ = 4117101281280. Its totient is φ = 1332186186240.

The previous prime is 2513513103203. The next prime is 2513513103271. The reversal of 2513513103213 is 3123013153152.

It is not a de Polignac number, because 2513513103213 - 2⁸ = 2513513102957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513513103203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4140877956 + ... + 4140878562.

It is an arithmetic number, because the mean of its divisors is an integer number (32164853760).

Almost surely, 2^{2513513103213} is an apocalyptic number.

It is an amenable number.

2513513103213 is a deficient number, since it is larger than the sum of its proper divisors (1603588178067).

2513513103213 is a wasteful number, since it uses less digits than its factorization.

2513513103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 2513513103213 its reverse (3123013153152), we get a palindrome (5636526256365).

The spelling of 2513513103213 in words is "two trillion, five hundred thirteen billion, five hundred thirteen million, one hundred three thousand, two hundred thirteen".