100311020032320 has 140 divisors (see below), whose sum is σ = 356823945656244. Its totient is φ = 26749605335040.

The previous prime is 100311020032309. The next prime is 100311020032361. The reversal of 100311020032320 is 23230020113001.

100311020032320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 110 + 200 + 32 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28405233078336 + 71905786953984 = 5329656^2 + 8479728^2 .

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 = 100311020032293 and 100311020032302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1934986041 + ... + 1935037880.

Almost surely, 2^{100311020032320} is an apocalyptic number.

100311020032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311020032320 is an abundant number, since it is smaller than the sum of its proper divisors (256512925623924).

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

100311020032320 is an equidigital number, since it uses as much as digits as its factorization.

100311020032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870023950 (or 3870023931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100311020032320 its reverse (23230020113001), we get a palindrome (123541040145321).

The spelling of 100311020032320 in words is "one hundred trillion, three hundred eleven billion, twenty million, thirty-two thousand, three hundred twenty".