100311314220 has 384 divisors, whose sum is σ = 347929102080. Its totient is φ = 23834787840.

The previous prime is 100311314203. The next prime is 100311314263. The reversal of 100311314220 is 22413113001.

100311314220 is a `hidden beast` number, since 100 + 31 + 1 + 314 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100311314193 and 100311314202.

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 127 ways as a sum of consecutive naturals, for example, 27916744 + ... + 27920336.

It is an arithmetic number, because the mean of its divisors is an integer number (906065370).

Almost surely, 2^100311314220 is an apocalyptic number.

100311314220 is a gapful number since it is divisible by the number (10) 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 100311314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173964551040).

100311314220 is an abundant number, since it is smaller than the sum of its proper divisors (247617787860).

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

100311314220 is a wasteful number, since it uses less digits than its factorization.

100311314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100311314220 its reverse (22413113001), we get a palindrome (122724427221).

The spelling of 100311314220 in words is "one hundred billion, three hundred eleven million, three hundred fourteen thousand, two hundred twenty".