4013100 has 216 divisors, whose sum is σ = 15797600. Its totient is φ = 846720.

The previous prime is 4013089. The next prime is 4013111. The reversal of 4013100 is 13104.

4013100 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4013089) and next prime (4013111).

It is a super-2 number, since 2×4013100² = 32209943220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

4013100 is strictly pandigital in base 8.

It is a nialpdrome in base 15.

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, 308694 + ... + 308706.

Almost surely, 2^4013100 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 4013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898800).

4013100 is an abundant number, since it is smaller than the sum of its proper divisors (11784500).

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

4013100 is a wasteful number, since it uses less digits than its factorization.

4013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4013100 is about 2003.2723229756. The cubic root of 4013100 is about 158.9132076455.

Adding to 4013100 its reverse (13104), we get a palindrome (4026204).

Multiplying 4013100 by its reverse (13104), we get a square (52587662400 = 229320²).

The spelling of 4013100 in words is "four million, thirteen thousand, one hundred".