3113213120100 has 108 divisors (see below), whose sum is σ = 9800074887876. Its totient is φ = 826627061760.

The previous prime is 3113213120093. The next prime is 3113213120113. The reversal of 3113213120100 is 10213123113.

3113213120100 is a `hidden beast` number, since 31 + 1 + 321 + 312 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 99315740736 + 3013897379364 = 315144^2 + 1736058^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 7213317 + ... + 7632716.

It is an arithmetic number, because the mean of its divisors is an integer number (90741434147).

Almost surely, 2^{3113213120100} is an apocalyptic number.

3113213120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113213120100 is an abundant number, since it is smaller than the sum of its proper divisors (6686861767776).

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

3113213120100 is a wasteful number, since it uses less digits than its factorization.

3113213120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14846286 (or 14846276 counting only the distinct ones).

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

Adding to 3113213120100 its reverse (10213123113), we get a palindrome (3123426243213).

The spelling of 3113213120100 in words is "three trillion, one hundred thirteen billion, two hundred thirteen million, one hundred twenty thousand, one hundred".