1334134314331 has 16 divisors (see below), whose sum is σ = 1642178415808. Its totient is φ = 1055471472000.

The previous prime is 1334134314311. The next prime is 1334134314347.

1334134314331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1334134314331 - 2¹⁷ = 1334134183259 is a prime.

It is a super-2 number, since 2×1334134314331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334134314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160621 + ... + 1641361.

It is an arithmetic number, because the mean of its divisors is an integer number (102636150988).

Almost surely, 2^{1334134314331} is an apocalyptic number.

1334134314331 is a deficient number, since it is larger than the sum of its proper divisors (308044101477).

1334134314331 is a wasteful number, since it uses less digits than its factorization.

1334134314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490662.

The product of its digits is 46656, while the sum is 34.

The spelling of 1334134314331 in words is "one trillion, three hundred thirty-four billion, one hundred thirty-four million, three hundred fourteen thousand, three hundred thirty-one".