13381407360 has 896 divisors, whose sum is σ = 52978147200. Its totient is φ = 3218890752.

The previous prime is 13381407301. The next prime is 13381407367. The reversal of 13381407360 is 6370418331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381407367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 311195499 + ... + 311195541.

Almost surely, 2^13381407360 is an apocalyptic number.

13381407360 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 13381407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489073600).

13381407360 is an abundant number, since it is smaller than the sum of its proper divisors (39596739840).

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

13381407360 is an equidigital number, since it uses as much as digits as its factorization.

13381407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13381407360 in words is "thirteen billion, three hundred eighty-one million, four hundred seven thousand, three hundred sixty".