13202032100 has 72 divisors (see below), whose sum is σ = 29293125120. Its totient is φ = 5162245120.

The previous prime is 13202032079. The next prime is 13202032121. The reversal of 13202032100 is 123020231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13202032079) and next prime (13202032121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6987956 + ... + 6989844.

It is an arithmetic number, because the mean of its divisors is an integer number (406848960).

Almost surely, 2^13202032100 is an apocalyptic number.

13202032100 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 13202032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646562560).

13202032100 is an abundant number, since it is smaller than the sum of its proper divisors (16091093020).

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

13202032100 is a wasteful number, since it uses less digits than its factorization.

13202032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13202032100 its reverse (123020231), we get a palindrome (13325052331).

The spelling of 13202032100 in words is "thirteen billion, two hundred two million, thirty-two thousand, one hundred".