13201812000 has 384 divisors, whose sum is σ = 51756606720. Its totient is φ = 3249331200.

The previous prime is 13201811977. The next prime is 13201812031. The reversal of 13201812000 is 21810231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1399299 + ... + 1408701.

It is an arithmetic number, because the mean of its divisors is an integer number (134782830).

Almost surely, 2^13201812000 is an apocalyptic number.

13201812000 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 13201812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878303360).

13201812000 is an abundant number, since it is smaller than the sum of its proper divisors (38554794720).

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

13201812000 is a wasteful number, since it uses less digits than its factorization.

13201812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 13201812000 in words is "thirteen billion, two hundred one million, eight hundred twelve thousand".