13735174097381 has 16 divisors (see below), whose sum is σ = 15868645858368. Its totient is φ = 11749488748800.

The previous prime is 13735174097213. The next prime is 13735174097413. The reversal of 13735174097381 is 18379047153731.

It is not a de Polignac number, because 13735174097381 - 2¹⁴ = 13735174080997 is a prime.

It is a super-2 number, since 2×13735174097381² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13735174097381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735174097881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7041530 + ... + 8778011.

It is an arithmetic number, because the mean of its divisors is an integer number (991790366148).

Almost surely, 2^{13735174097381} is an apocalyptic number.

13735174097381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13735174097381 is a deficient number, since it is larger than the sum of its proper divisors (2133471760987).

13735174097381 is a wasteful number, since it uses less digits than its factorization.

13735174097381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824212.

The product of its (nonzero) digits is 13335840, while the sum is 59.

The spelling of 13735174097381 in words is "thirteen trillion, seven hundred thirty-five billion, one hundred seventy-four million, ninety-seven thousand, three hundred eighty-one".