13357312540 has 96 divisors (see below), whose sum is σ = 32992134336. Its totient is φ = 4478423040.

The previous prime is 13357312487. The next prime is 13357312561. The reversal of 13357312540 is 4521375331.

It is a junction number, because it is equal to n+sod(n) for n = 13357312496 and 13357312505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3123844 + ... + 3128116.

It is an arithmetic number, because the mean of its divisors is an integer number (343668066).

Almost surely, 2^13357312540 is an apocalyptic number.

13357312540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496067168).

13357312540 is an abundant number, since it is smaller than the sum of its proper divisors (19634821796).

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

13357312540 is a wasteful number, since it uses less digits than its factorization.

13357312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

Adding to 13357312540 its reverse (4521375331), we get a palindrome (17878687871).

The spelling of 13357312540 in words is "thirteen billion, three hundred fifty-seven million, three hundred twelve thousand, five hundred forty".