4113331124100 has 432 divisors, whose sum is σ = 13346538100224. Its totient is φ = 977148057600.

The previous prime is 4113331124083. The next prime is 4113331124167. The reversal of 4113331124100 is 14211333114.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 416029357 + ... + 416039243.

Almost surely, 2^{4113331124100} 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 4113331124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673269050112).

4113331124100 is an abundant number, since it is smaller than the sum of its proper divisors (9233206976124).

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

4113331124100 is a wasteful number, since it uses less digits than its factorization.

4113331124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 4113331124100 its reverse (14211333114), we get a palindrome (4127542457214).

The spelling of 4113331124100 in words is "four trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred twenty-four thousand, one hundred".