13387233278331 has 64 divisors (see below), whose sum is σ = 22653682007040. Its totient is φ = 7734226705920.

The previous prime is 13387233278323. The next prime is 13387233278357.

13387233278331 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 7 + 2 + 33 + 278 + 331 = 666.

13387233278331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13387233278331 - 2³ = 13387233278323 is a prime.

It is a super-2 number, since 2×13387233278331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13387233278371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1342846 + ... + 5345811.

It is an arithmetic number, because the mean of its divisors is an integer number (353963781360).

Almost surely, 2^{13387233278331} is an apocalyptic number.

13387233278331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13387233278331 is a deficient number, since it is larger than the sum of its proper divisors (9266448728709).

13387233278331 is a wasteful number, since it uses less digits than its factorization.

13387233278331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688993 (or 6688987 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 13387233278331 in words is "thirteen trillion, three hundred eighty-seven billion, two hundred thirty-three million, two hundred seventy-eight thousand, three hundred thirty-one".