1334031331361 has 2 divisors, whose sum is σ = 1334031331362. Its totient is φ = 1334031331360.

The previous prime is 1334031331337. The next prime is 1334031331363. The reversal of 1334031331361 is 1631331304331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792600258961 + 541431072400 = 890281^2 + 735820^2 .

It is a cyclic number.

It is not a de Polignac number, because 1334031331361 - 2²² = 1334027137057 is a prime.

It is a super-2 number, since 2×1334031331361² (a number of 25 digits) contains 22 as substring.

Together with 1334031331363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1334031331363) 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 as a sum of consecutive naturals, namely, 667015665680 + 667015665681.

It is an arithmetic number, because the mean of its divisors is an integer number (667015665681).

Almost surely, 2^{1334031331361} is an apocalyptic number.

It is an amenable number.

1334031331361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1334031331361 is an equidigital number, since it uses as much as digits as its factorization.

1334031331361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

Adding to 1334031331361 its reverse (1631331304331), we get a palindrome (2965362635692).

The spelling of 1334031331361 in words is "one trillion, three hundred thirty-four billion, thirty-one million, three hundred thirty-one thousand, three hundred sixty-one".