100311031320 has 256 divisors, whose sum is σ = 329204736000. Its totient is φ = 24383385600.

The previous prime is 100311031313. The next prime is 100311031339. The reversal of 100311031320 is 23130113001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100311031320.

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, 4411741 + ... + 4434419.

It is an arithmetic number, because the mean of its divisors is an integer number (1285956000).

Almost surely, 2^100311031320 is an apocalyptic number.

100311031320 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 100311031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368000).

100311031320 is an abundant number, since it is smaller than the sum of its proper divisors (228893704680).

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

100311031320 is a wasteful number, since it uses less digits than its factorization.

100311031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22794 (or 22790 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100311031320 its reverse (23130113001), we get a palindrome (123441144321).

The spelling of 100311031320 in words is "one hundred billion, three hundred eleven million, thirty-one thousand, three hundred twenty".