3133252523313 has 18 divisors (see below), whose sum is σ = 4974649783922. Its totient is φ = 1898940922560.

The previous prime is 3133252523267. The next prime is 3133252523351.

3133252523313 is a `hidden beast` number, since 3 + 1 + 332 + 5 + 2 + 5 + 2 + 3 + 313 = 666.

3133252523313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3104302181409 + 28950341904 = 1761903^2 + 170148^2 .

It is not a de Polignac number, because 3133252523313 - 2¹³ = 3133252515121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3133252522313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1438590520 + ... + 1438592697.

Almost surely, 2^{3133252523313} is an apocalyptic number.

3133252523313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3133252523313 is a deficient number, since it is larger than the sum of its proper divisors (1841397260609).

3133252523313 is a wasteful number, since it uses less digits than its factorization.

3133252523313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877183245 (or 2877183231 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The spelling of 3133252523313 in words is "three trillion, one hundred thirty-three billion, two hundred fifty-two million, five hundred twenty-three thousand, three hundred thirteen".