100031101320 has 128 divisors (see below), whose sum is σ = 314852705280. Its totient is φ = 25391232000.

The previous prime is 100031101301. The next prime is 100031101343. The reversal of 100031101320 is 23101130001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100031101296 and 100031101305.

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 31 ways as a sum of consecutive naturals, for example, 6510 + ... + 447330.

It is an arithmetic number, because the mean of its divisors is an integer number (2459786760).

Almost surely, 2^100031101320 is an apocalyptic number.

100031101320 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 100031101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157426352640).

100031101320 is an abundant number, since it is smaller than the sum of its proper divisors (214821603960).

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

100031101320 is a wasteful number, since it uses less digits than its factorization.

100031101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440927 (or 440923 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100031101320 its reverse (23101130001), we get a palindrome (123132231321).

The spelling of 100031101320 in words is "one hundred billion, thirty-one million, one hundred one thousand, three hundred twenty".