100311033312 has 384 divisors, whose sum is σ = 341810380800. Its totient is φ = 28029431808.

The previous prime is 100311033307. The next prime is 100311033331. The reversal of 100311033312 is 213330113001.

It is a happy number.

100311033312 is a `hidden beast` number, since 10 + 0 + 311 + 0 + 33 + 312 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56070114 + ... + 56071902.

It is an arithmetic number, because the mean of its divisors is an integer number (890131200).

Almost surely, 2^100311033312 is an apocalyptic number.

100311033312 is a gapful number since it is divisible by the number (12) 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 100311033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170905190400).

100311033312 is an abundant number, since it is smaller than the sum of its proper divisors (241499347488).

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

100311033312 is a wasteful number, since it uses less digits than its factorization.

100311033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100311033312 its reverse (213330113001), we get a palindrome (313641146313).

The spelling of 100311033312 in words is "one hundred billion, three hundred eleven million, thirty-three thousand, three hundred twelve".