3111213320100 has 108 divisors (see below), whose sum is σ = 9765838735380. Its totient is φ = 828473184000.

The previous prime is 3111213320053. The next prime is 3111213320113. The reversal of 3111213320100 is 10233121113.

3111213320100 is a `hidden beast` number, since 31 + 1 + 1 + 213 + 320 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 209866604544 + 2901346715556 = 458112^2 + 1703334^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1834795 + ... + 3096594.

It is an arithmetic number, because the mean of its divisors is an integer number (90424432735).

Almost surely, 2^{3111213320100} is an apocalyptic number.

3111213320100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3111213320100 is an abundant number, since it is smaller than the sum of its proper divisors (6654625415280).

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

3111213320100 is a wasteful number, since it uses less digits than its factorization.

3111213320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932110 (or 4932100 counting only the distinct ones).

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

Adding to 3111213320100 its reverse (10233121113), we get a palindrome (3121446441213).

The spelling of 3111213320100 in words is "three trillion, one hundred eleven billion, two hundred thirteen million, three hundred twenty thousand, one hundred".