13413600000 has 756 divisors, whose sum is σ = 52358180112. Its totient is φ = 3421440000.

The previous prime is 13413599987. The next prime is 13413600001. The reversal of 13413600000 is 631431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13413600001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 583199989 + ... + 583200011.

It is an arithmetic number, because the mean of its divisors is an integer number (69256852).

Almost surely, 2^13413600000 is an apocalyptic number.

13413600000 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 13413600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26179090056).

13413600000 is an abundant number, since it is smaller than the sum of its proper divisors (38944580112).

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

13413600000 is an frugal number, since it uses more digits than its factorization.

13413600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 13413600000 in words is "thirteen billion, four hundred thirteen million, six hundred thousand".