13374377347331 has 192 divisors, whose sum is σ = 18651650457600. Its totient is φ = 9309396096000.

The previous prime is 13374377347307. The next prime is 13374377347343.

13374377347331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13374377347331 - 2²⁶ = 13374310238467 is a prime.

It is a super-2 number, since 2×13374377347331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13374377347391) 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 191 ways as a sum of consecutive naturals, for example, 11619788606 + ... + 11619789756.

It is an arithmetic number, because the mean of its divisors is an integer number (97144012800).

Almost surely, 2^{13374377347331} is an apocalyptic number.

13374377347331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13374377347331 is a deficient number, since it is larger than the sum of its proper divisors (5277273110269).

13374377347331 is a wasteful number, since it uses less digits than its factorization.

13374377347331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its digits is 28005264, while the sum is 56.

The spelling of 13374377347331 in words is "thirteen trillion, three hundred seventy-four billion, three hundred seventy-seven million, three hundred forty-seven thousand, three hundred thirty-one".