4013113104 has 360 divisors, whose sum is σ = 15199818816. Its totient is φ = 961804800.

The previous prime is 4013113067. The next prime is 4013113157.

4013113104 is a `hidden beast` number, since 40 + 1 + 311 + 310 + 4 = 666.

4013113104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4013113104² = 32210153570993029632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1584319 + ... + 1586849.

Almost surely, 2^4013113104 is an apocalyptic number.

4013113104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599909408).

4013113104 is an abundant number, since it is smaller than the sum of its proper divisors (11186705712).

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

4013113104 is a wasteful number, since it uses less digits than its factorization.

4013113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4013113104 is about 63349.1365687016. The cubic root of 4013113104 is about 1589.1338061203.

It can be divided in two parts, 40131 and 13104, that multiplied together give a square (525876624 = 22932²).

The spelling of 4013113104 in words is "four billion, thirteen million, one hundred thirteen thousand, one hundred four".