3113566120900 has 243 divisors, whose sum is σ = 7358002571367. Its totient is φ = 1143415440000.

The previous prime is 3113566120883. The next prime is 3113566120901. The reversal of 3113566120900 is 90216653113.

It is a happy number.

The square root of 3113566120900 is 1764530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 295572719556 + 2817993401344 = 543666^2 + 1678688^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3113566120900.

It is not an unprimeable number, because it can be changed into a prime (3113566120901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12404645775 + ... + 12404646025.

Almost surely, 2^{3113566120900} is an apocalyptic number.

3113566120900 is the 1764530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113566120900

3113566120900 is an abundant number, since it is smaller than the sum of its proper divisors (4244436450467).

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

3113566120900 is a wasteful number, since it uses less digits than its factorization.

3113566120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 3113566120900 in words is "three trillion, one hundred thirteen billion, five hundred sixty-six million, one hundred twenty thousand, nine hundred".