2013413200 has 60 divisors (see below), whose sum is σ = 4841564128. Its totient is φ = 804643200.

The previous prime is 2013413179. The next prime is 2013413287. The reversal of 2013413200 is 23143102.

2013413200 = T₂₈₅ + T₂₈₆ + ... + T₂₂₉₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803149 + ... + 805651.

Almost surely, 2^2013413200 is an apocalyptic number.

2013413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013413200 is an abundant number, since it is smaller than the sum of its proper divisors (2828150928).

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

2013413200 is a wasteful number, since it uses less digits than its factorization.

2013413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013413200 is about 44871.0730872352. The cubic root of 2013413200 is about 1262.7313721622.

Adding to 2013413200 its reverse (23143102), we get a palindrome (2036556302).

The spelling of 2013413200 in words is "two billion, thirteen million, four hundred thirteen thousand, two hundred".