13325133152331 has 48 divisors (see below), whose sum is σ = 25842682494720. Its totient is φ = 6389674234560.

The previous prime is 13325133152323. The next prime is 13325133152363.

13325133152331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 5 + 1 + 3 + 315 + 2 + 331 = 666.

13325133152331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13325133152331 - 2³ = 13325133152323 is a prime.

It is a super-2 number, since 2×13325133152331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13325133150331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739536621 + ... + 739554638.

It is an arithmetic number, because the mean of its divisors is an integer number (538389218640).

Almost surely, 2^{13325133152331} is an apocalyptic number.

13325133152331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13325133152331 is a deficient number, since it is larger than the sum of its proper divisors (12517549342389).

13325133152331 is a wasteful number, since it uses less digits than its factorization.

13325133152331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479091296 (or 1479091293 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 1332513 and 3152331, that added together give a palindrome (4484844).

The spelling of 13325133152331 in words is "thirteen trillion, three hundred twenty-five billion, one hundred thirty-three million, one hundred fifty-two thousand, three hundred thirty-one".