3113777868100 has 27 divisors (see below), whose sum is σ = 6756936265597. Its totient is φ = 1245504088880.

The previous prime is 3113777868031. The next prime is 3113777868137. The reversal of 3113777868100 is 18687773113.

The square root of 3113777868100 is 1764590.

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

It can be written as a sum of positive squares in only one way, i.e., 1120960032516 + 1992817835584 = 1058754^2 + 1411672^2 .

It is a super-2 number, since 2×3113777868100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17557671 + ... + 17734129.

Almost surely, 2^{3113777868100} is an apocalyptic number.

3113777868100 is the 1764590-th square number.

It is an amenable number.

3113777868100 is an abundant number, since it is smaller than the sum of its proper divisors (3643158397497).

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

3113777868100 is an frugal number, since it uses more digits than its factorization.

3113777868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352932 (or 176466 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 3113777868100 in words is "three trillion, one hundred thirteen billion, seven hundred seventy-seven million, eight hundred sixty-eight thousand, one hundred".