1334312134331 has 24 divisors (see below), whose sum is σ = 1481815699392. Its totient is φ = 1200470832000.

The previous prime is 1334312134319. The next prime is 1334312134381.

It is a happy number.

1334312134331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1334312134331 - 2³⁸ = 1059434227387 is a prime.

It is a super-2 number, since 2×1334312134331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1334312134381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29099735 + ... + 29145551.

It is an arithmetic number, because the mean of its divisors is an integer number (61742320808).

Almost surely, 2^{1334312134331} is an apocalyptic number.

1334312134331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334312134331 is a deficient number, since it is larger than the sum of its proper divisors (147503565061).

1334312134331 is a wasteful number, since it uses less digits than its factorization.

1334312134331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48323 (or 48312 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 1334312134331 in words is "one trillion, three hundred thirty-four billion, three hundred twelve million, one hundred thirty-four thousand, three hundred thirty-one".