3113131022100 has 432 divisors, whose sum is σ = 11115643803264. Its totient is φ = 721378944000.

The previous prime is 3113131022083. The next prime is 3113131022137. The reversal of 3113131022100 is 12201313113.

3113131022100 is a `hidden beast` number, since 3 + 1 + 131 + 310 + 221 + 0 + 0 = 666.

It is a super-2 number, since 2×3113131022100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396421774 + ... + 396429626.

It is an arithmetic number, because the mean of its divisors is an integer number (25730656952).

Almost surely, 2^{3113131022100} is an apocalyptic number.

3113131022100 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 3113131022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557821901632).

3113131022100 is an abundant number, since it is smaller than the sum of its proper divisors (8002512781164).

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

3113131022100 is a wasteful number, since it uses less digits than its factorization.

3113131022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3113131022100 its reverse (12201313113), we get a palindrome (3125332335213).

The spelling of 3113131022100 in words is "three trillion, one hundred thirteen billion, one hundred thirty-one million, twenty-two thousand, one hundred".