13032100000 has 180 divisors, whose sum is σ = 33850735758. Its totient is φ = 4938480000.

The previous prime is 13032099991. The next prime is 13032100027. The reversal of 13032100000 is 123031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 18766224 + 13013333776 = 4332^2 + 114076^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 13032100000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 685899991 + ... + 685900009.

Almost surely, 2^13032100000 is an apocalyptic number.

13032100000 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 13032100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925367879).

13032100000 is an abundant number, since it is smaller than the sum of its proper divisors (20818635758).

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

13032100000 is an frugal number, since it uses more digits than its factorization.

13032100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Multiplying 13032100000 by its sum of digits (10), we get a square (130321000000 = 361000²).

13032100000 divided by its sum of digits (10) gives a 4-th power (1303210000 = 190⁴).

Adding to 13032100000 its reverse (123031), we get a palindrome (13032223031).

The spelling of 13032100000 in words is "thirteen billion, thirty-two million, one hundred thousand".