4013031300 has 72 divisors (see below), whose sum is σ = 11633692896. Its totient is φ = 1068053760.

The previous prime is 4013031299. The next prime is 4013031301. The reversal of 4013031300 is 31303104.

It is an interprime number because it is at equal distance from previous prime (4013031299) and next prime (4013031301).

It is a super-2 number, since 2×4013031300² = 32208840429559380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4013031300.

It is not an unprimeable number, because it can be changed into a prime (4013031301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144112 + ... + 169688.

It is an arithmetic number, because the mean of its divisors is an integer number (161579068).

Almost surely, 2^4013031300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816846448).

4013031300 is an abundant number, since it is smaller than the sum of its proper divisors (7620661596).

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

4013031300 is a wasteful number, since it uses less digits than its factorization.

4013031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26117 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 4013031300 is about 63348.4909054667. The cubic root of 4013031300 is about 1589.1230083197.

Adding to 4013031300 its reverse (31303104), we get a palindrome (4044334404).

The spelling of 4013031300 in words is "four billion, thirteen million, thirty-one thousand, three hundred".