13355400455331 has 64 divisors (see below), whose sum is σ = 20281236298752. Its totient is φ = 7745129280000.

The previous prime is 13355400455321. The next prime is 13355400455351.

13355400455331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13355400455331 - 2¹⁰ = 13355400454307 is a prime.

It is a super-2 number, since 2×13355400455331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13355400455311) 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, 797757621 + ... + 797774361.

It is an arithmetic number, because the mean of its divisors is an integer number (316894317168).

Almost surely, 2^{13355400455331} is an apocalyptic number.

13355400455331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13355400455331 is a deficient number, since it is larger than the sum of its proper divisors (6925835843421).

13355400455331 is a wasteful number, since it uses less digits than its factorization.

13355400455331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27564.

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 13355400455331 in words is "thirteen trillion, three hundred fifty-five billion, four hundred million, four hundred fifty-five thousand, three hundred thirty-one".