2013300431325 has 18 divisors (see below), whose sum is σ = 3606044772954. Its totient is φ = 1073760229920.

The previous prime is 2013300431251. The next prime is 2013300431333. The reversal of 2013300431325 is 5231340033102.

2013300431325 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 300 + 4 + 31 + 325 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 261844053849 + 1751456377476 = 511707^2 + 1323426^2 .

It is not a de Polignac number, because 2013300431325 - 2⁸ = 2013300431069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4474000734 + ... + 4474001183.

Almost surely, 2^{2013300431325} is an apocalyptic number.

2013300431325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2013300431325 is a deficient number, since it is larger than the sum of its proper divisors (1592744341629).

2013300431325 is a wasteful number, since it uses less digits than its factorization.

2013300431325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948001933 (or 8948001925 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 2013300431325 its reverse (5231340033102), we get a palindrome (7244640464427).

The spelling of 2013300431325 in words is "two trillion, thirteen billion, three hundred million, four hundred thirty-one thousand, three hundred twenty-five".