13135318400 has 96 divisors (see below), whose sum is σ = 33859328400. Its totient is φ = 5025658880.

The previous prime is 13135318397. The next prime is 13135318421. The reversal of 13135318400 is 481353131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15635 + ... + 162834.

Almost surely, 2^13135318400 is an apocalyptic number.

13135318400 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 13135318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929664200).

13135318400 is an abundant number, since it is smaller than the sum of its proper divisors (20724010000).

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

13135318400 is a wasteful number, since it uses less digits than its factorization.

13135318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178516 (or 178499 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 13135318400 in words is "thirteen billion, one hundred thirty-five million, three hundred eighteen thousand, four hundred".