100031310031320 has 192 divisors, whose sum is σ = 326963518876800. Its totient is φ = 26522666311680.

The previous prime is 100031310031307. The next prime is 100031310031321. The reversal of 100031310031320 is 23130013130001.

It is a happy number.

100031310031320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 1 + 310 + 0 + 31 + 320 = 666.

It is a super-2 number, since 2×100031310031320² (a number of 29 digits) contains 22 as substring.

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 = 100031310031293 and 100031310031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031310031321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45769216 + ... + 47904944.

It is an arithmetic number, because the mean of its divisors is an integer number (1702934994150).

Almost surely, 2^{100031310031320} is an apocalyptic number.

100031310031320 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 100031310031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163481759438400).

100031310031320 is an abundant number, since it is smaller than the sum of its proper divisors (226932208845480).

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

100031310031320 is a wasteful number, since it uses less digits than its factorization.

100031310031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136490 (or 2136483 counting only the distinct ones).

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

Adding to 100031310031320 its reverse (23130013130001), we get a palindrome (123161323161321).

The spelling of 100031310031320 in words is "one hundred trillion, thirty-one billion, three hundred ten million, thirty-one thousand, three hundred twenty".