2013031232100 has 288 divisors, whose sum is σ = 7472280354560. Its totient is φ = 455377489920.

The previous prime is 2013031232099. The next prime is 2013031232153. The reversal of 2013031232100 is 12321303102.

2013031232100 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 312 + 321 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1284282 + ... + 2382318.

Almost surely, 2^{2013031232100} is an apocalyptic number.

2013031232100 is a gapful number since it is divisible by the number (20) 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 2013031232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736140177280).

2013031232100 is an abundant number, since it is smaller than the sum of its proper divisors (5459249122460).

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

2013031232100 is a wasteful number, since it uses less digits than its factorization.

2013031232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098164 (or 1098151 counting only the distinct ones).

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

Adding to 2013031232100 its reverse (12321303102), we get a palindrome (2025352535202).

The spelling of 2013031232100 in words is "two trillion, thirteen billion, thirty-one million, two hundred thirty-two thousand, one hundred".