13331300313331 has 32 divisors (see below), whose sum is σ = 17902978587648. Its totient is φ = 9587013171840.

The previous prime is 13331300313239. The next prime is 13331300313361.

13331300313331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13331300313331 - 2⁴¹ = 11132277057779 is a prime.

It is a super-2 number, since 2×13331300313331² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13331300313331.

It is not an unprimeable number, because it can be changed into a prime (13331300313361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631321 + ... + 6312613.

It is an arithmetic number, because the mean of its divisors is an integer number (559468080864).

Almost surely, 2^{13331300313331} is an apocalyptic number.

13331300313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331300313331 is a deficient number, since it is larger than the sum of its proper divisors (4571678274317).

13331300313331 is a wasteful number, since it uses less digits than its factorization.

13331300313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686291.

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 13331300 and 313331, that added together give a palindrome (13644631).

The spelling of 13331300313331 in words is "thirteen trillion, three hundred thirty-one billion, three hundred million, three hundred thirteen thousand, three hundred thirty-one".