13107042733225 has 63 divisors (see below), whose sum is σ = 18970485286711. Its totient is φ = 8983428896400.

The previous prime is 13107042733219. The next prime is 13107042733261. The reversal of 13107042733225 is 52233724070131.

The square root of 13107042733225 is 3620365.

It is a perfect power (a square), and thus also a powerful number.

13107042733225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4718535383961 + 8388507349264 = 2172219^2 + 2896292^2 .

It is not a de Polignac number, because 13107042733225 - 2³¹ = 13104895249577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6208924920 + ... + 6208927030.

Almost surely, 2^{13107042733225} is an apocalyptic number.

13107042733225 is the 3620365-th square number.

13107042733225 is the 1810183-rd centered octagonal number.

It is an amenable number.

13107042733225 is a deficient number, since it is larger than the sum of its proper divisors (5863442553486).

13107042733225 is an frugal number, since it uses more digits than its factorization.

13107042733225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 13107042733225 in words is "thirteen trillion, one hundred seven billion, forty-two million, seven hundred thirty-three thousand, two hundred twenty-five".