4013312200 has 24 divisors (see below), whose sum is σ = 9330951330. Its totient is φ = 1605324800.

The previous prime is 4013312143. The next prime is 4013312209. The reversal of 4013312200 is 22133104.

It is a happy number.

4013312200 is digitally balanced in base 2, 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 3 ways, for example, as 1971537604 + 2041774596 = 44402^2 + 45186^2 .

It is a super-2 number, since 2×4013312200² = 32213349629337680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013312209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10033081 + ... + 10033480.

Almost surely, 2^4013312200 is an apocalyptic number.

4013312200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013312200 is an abundant number, since it is smaller than the sum of its proper divisors (5317639130).

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

4013312200 is a wasteful number, since it uses less digits than its factorization.

4013312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066577 (or 20066568 counting only the distinct ones).

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

The square root of 4013312200 is about 63350.7079676305. The cubic root of 4013312200 is about 1589.1600853823.

Adding to 4013312200 its reverse (22133104), we get a palindrome (4035445304).

The spelling of 4013312200 in words is "four billion, thirteen million, three hundred twelve thousand, two hundred".