2013001300 has 36 divisors (see below), whose sum is σ = 4394406240. Its totient is φ = 800372320.

The previous prime is 2013001261. The next prime is 2013001307. The reversal of 2013001300 is 31003102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013001307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43570 + ... + 76969.

It is an arithmetic number, because the mean of its divisors is an integer number (122066840).

Almost surely, 2^2013001300 is an apocalyptic number.

2013001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013001300 is an abundant number, since it is smaller than the sum of its proper divisors (2381404940).

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

2013001300 is a wasteful number, since it uses less digits than its factorization.

2013001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120720 (or 120713 counting only the distinct ones).

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

The square root of 2013001300 is about 44866.4830357807. The cubic root of 2013001300 is about 1262.6452572795.

Adding to 2013001300 its reverse (31003102), we get a palindrome (2044004402).

The spelling of 2013001300 in words is "two billion, thirteen million, one thousand, three hundred".