13314125133440 has 32 divisors (see below), whose sum is σ = 31829080398660. Its totient is φ = 5325650053120.

The previous prime is 13314125133433. The next prime is 13314125133481. The reversal of 13314125133440 is 4433152141331.

It can be written as a sum of positive squares in 2 ways, for example, as 12081296865856 + 1232828267584 = 3475816^2 + 1110328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13314125133440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10401659621 + ... + 10401660900.

Almost surely, 2^{13314125133440} is an apocalyptic number.

13314125133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13314125133440 is an abundant number, since it is smaller than the sum of its proper divisors (18514955265220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13314125133440 is an equidigital number, since it uses as much as digits as its factorization.

13314125133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20803320540 (or 20803320528 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 13314125133440 its reverse (4433152141331), we get a palindrome (17747277274771).

The spelling of 13314125133440 in words is "thirteen trillion, three hundred fourteen billion, one hundred twenty-five million, one hundred thirty-three thousand, four hundred forty".