4013133100 has 72 divisors (see below), whose sum is σ = 9041452560. Its totient is φ = 1544282880.

The previous prime is 4013133077. The next prime is 4013133121. The reversal of 4013133100 is 13313104.

It is a super-2 number, since 2×4013133100² = 32210474556631220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847339 + ... + 852061.

It is an arithmetic number, because the mean of its divisors is an integer number (125575730).

Almost surely, 2^4013133100 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 4013133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520726280).

4013133100 is an abundant number, since it is smaller than the sum of its proper divisors (5028319460).

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

4013133100 is a wasteful number, since it uses less digits than its factorization.

4013133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 4013133100 is about 63349.2943922819. The cubic root of 4013133100 is about 1589.1364454899.

Adding to 4013133100 its reverse (13313104), we get a palindrome (4026446204).

The spelling of 4013133100 in words is "four billion, thirteen million, one hundred thirty-three thousand, one hundred".