4013201300 has 36 divisors (see below), whose sum is σ = 8944023900. Its totient is φ = 1561893120.

The previous prime is 4013201293. The next prime is 4013201303. The reversal of 4013201300 is 31023104.

It can be written as a sum of positive squares in 6 ways, for example, as 29571844 + 3983629456 = 5438^2 + 63116^2 .

It is a super-2 number, since 2×4013201300² = 32211569348643380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013201303) 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, 538625 + ... + 546024.

Almost surely, 2^4013201300 is an apocalyptic number.

It is an amenable number.

4013201300 is an abundant number, since it is smaller than the sum of its proper divisors (4930822600).

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

4013201300 is a wasteful number, since it uses less digits than its factorization.

4013201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084700 (or 1084693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4013201300 is about 63349.8326753907. The cubic root of 4013201300 is about 1589.1454474749.

Adding to 4013201300 its reverse (31023104), we get a palindrome (4044224404).

The spelling of 4013201300 in words is "four billion, thirteen million, two hundred one thousand, three hundred".