13313433431331 has 48 divisors (see below), whose sum is σ = 22249729711872. Its totient is φ = 7591408862400.

The previous prime is 13313433431303. The next prime is 13313433431339.

13313433431331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 4 + 334 + 313 + 3 + 1 = 666.

13313433431331 is nontrivially palindromic in base 10.

13313433431331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13313433431331 is a prime.

It is a super-2 number, since 2×13313433431331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13313433431339) 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, 47786665 + ... + 48064458.

It is an arithmetic number, because the mean of its divisors is an integer number (463536035664).

Almost surely, 2^{13313433431331} is an apocalyptic number.

13313433431331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13313433431331 is a deficient number, since it is larger than the sum of its proper divisors (8936296280541).

13313433431331 is a wasteful number, since it uses less digits than its factorization.

13313433431331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95851224 (or 95851221 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

It can be divided in two parts, 1331343 and 3431331, that added together give a palindrome (4762674).

The spelling of 13313433431331 in words is "thirteen trillion, three hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, three hundred thirty-one".