4113324111300 has 288 divisors, whose sum is σ = 12699143452800. Its totient is φ = 1025003520000.

The previous prime is 4113324111289. The next prime is 4113324111317. The reversal of 4113324111300 is 31114233114.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154850020 + ... + 154876580.

It is an arithmetic number, because the mean of its divisors is an integer number (44094248100).

Almost surely, 2^{4113324111300} 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 4113324111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349571726400).

4113324111300 is an abundant number, since it is smaller than the sum of its proper divisors (8585819341500).

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

4113324111300 is a wasteful number, since it uses less digits than its factorization.

4113324111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26967 (or 26960 counting only the distinct ones).

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

Adding to 4113324111300 its reverse (31114233114), we get a palindrome (4144438344414).

The spelling of 4113324111300 in words is "four trillion, one hundred thirteen billion, three hundred twenty-four million, one hundred eleven thousand, three hundred".