3112331201100 has 216 divisors, whose sum is σ = 10901855830320. Its totient is φ = 736101888000.

The previous prime is 3112331201081. The next prime is 3112331201101. The reversal of 3112331201100 is 11021332113.

3112331201100 is a `hidden beast` number, since 31 + 1 + 2 + 331 + 201 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3112331201101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3427965 + ... + 4239764.

It is an arithmetic number, because the mean of its divisors is an integer number (50471554770).

Almost surely, 2^{3112331201100} is an apocalyptic number.

3112331201100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112331201100 is an abundant number, since it is smaller than the sum of its proper divisors (7789524629220).

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

3112331201100 is a wasteful number, since it uses less digits than its factorization.

3112331201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667801 (or 7667791 counting only the distinct ones).

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

Adding to 3112331201100 its reverse (11021332113), we get a palindrome (3123352533213).

The spelling of 3112331201100 in words is "three trillion, one hundred twelve billion, three hundred thirty-one million, two hundred one thousand, one hundred".