2013033100 has 72 divisors (see below), whose sum is σ = 4831562288. Its totient is φ = 723168000.

The previous prime is 2013033083. The next prime is 2013033103. The reversal of 2013033100 is 13303102.

It is a super-2 number, since 2×2013033100² = 8104604523391220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2013033103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27175 + ... + 69025.

Almost surely, 2^2013033100 is an apocalyptic number.

2013033100 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 2013033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415781144).

2013033100 is an abundant number, since it is smaller than the sum of its proper divisors (2818529188).

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

2013033100 is a wasteful number, since it uses less digits than its factorization.

2013033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41915 (or 41908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013033100 is about 44866.8374191897. The cubic root of 2013033100 is about 1262.6519060428.

Adding to 2013033100 its reverse (13303102), we get a palindrome (2026336202).

The spelling of 2013033100 in words is "two billion, thirteen million, thirty-three thousand, one hundred".