3113314304100 has 576 divisors, whose sum is σ = 12214330232832. Its totient is φ = 591240960000.

The previous prime is 3113314304083. The next prime is 3113314304189. The reversal of 3113314304100 is 14034133113.

It is a super-2 number, since 2×3113314304100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30278977 + ... + 30381623.

It is an arithmetic number, because the mean of its divisors is an integer number (21205434432).

Almost surely, 2^{3113314304100} is an apocalyptic number.

3113314304100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113314304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107165116416).

3113314304100 is an abundant number, since it is smaller than the sum of its proper divisors (9101015928732).

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

3113314304100 is a wasteful number, since it uses less digits than its factorization.

3113314304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102796 (or 102789 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3113314304100 its reverse (14034133113), we get a palindrome (3127348437213).

The spelling of 3113314304100 in words is "three trillion, one hundred thirteen billion, three hundred fourteen million, three hundred four thousand, one hundred".