2013973300 has 36 divisors (see below), whose sum is σ = 4476924396. Its totient is φ = 785939200.

The previous prime is 2013973279. The next prime is 2013973309. The reversal of 2013973300 is 33793102.

It can be written as a sum of positive squares in 6 ways, for example, as 480311056 + 1533662244 = 21916^2 + 39162^2 .

It is a super-2 number, since 2×2013973300² = 8112176906225780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013973309) 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, 241507 + ... + 249706.

It is an arithmetic number, because the mean of its divisors is an integer number (124359011).

Almost surely, 2^2013973300 is an apocalyptic number.

2013973300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013973300 is an abundant number, since it is smaller than the sum of its proper divisors (2462951096).

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

2013973300 is a wasteful number, since it uses less digits than its factorization.

2013973300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491268 (or 491261 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 2013973300 is about 44877.3138679222. The cubic root of 2013973300 is about 1262.8484519994.

It can be divided in two parts, 20139 and 73300, that added together give a palindrome (93439).

The spelling of 2013973300 in words is "two billion, thirteen million, nine hundred seventy-three thousand, three hundred".