2013002100 has 108 divisors (see below), whose sum is σ = 6329319724. Its totient is φ = 535127040.

The previous prime is 2013002093. The next prime is 2013002111. The reversal of 2013002100 is 12003102.

It is a happy number.

2013002100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 629608464 + 1383393636 = 25092^2 + 37194^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299982 + ... + 306618.

Almost surely, 2^2013002100 is an apocalyptic number.

2013002100 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 2013002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164659862).

2013002100 is an abundant number, since it is smaller than the sum of its proper divisors (4316317624).

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

2013002100 is a wasteful number, since it uses less digits than its factorization.

2013002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013002100 is about 44866.4919511209. The cubic root of 2013002100 is about 1262.6454245448.

Adding to 2013002100 its reverse (12003102), we get a palindrome (2025005202).

It can be divided in two parts, 2013002 and 100, that added together give a palindrome (2013102).

The spelling of 2013002100 in words is "two billion, thirteen million, two thousand, one hundred".