13362144126331 has 64 divisors (see below), whose sum is σ = 18660891820032. Its totient is φ = 9230092560000.

The previous prime is 13362144126319. The next prime is 13362144126347.

13362144126331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13362144126331 - 2⁵ = 13362144126299 is a prime.

It is a super-2 number, since 2×13362144126331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13362144120331) 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, 2421526 + ... + 5708596.

It is an arithmetic number, because the mean of its divisors is an integer number (291576434688).

Almost surely, 2^{13362144126331} is an apocalyptic number.

13362144126331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13362144126331 is a deficient number, since it is larger than the sum of its proper divisors (5298747693701).

13362144126331 is a wasteful number, since it uses less digits than its factorization.

13362144126331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287264.

The product of its digits is 186624, while the sum is 40.

The spelling of 13362144126331 in words is "thirteen trillion, three hundred sixty-two billion, one hundred forty-four million, one hundred twenty-six thousand, three hundred thirty-one".