10031221300320 has 144 divisors (see below), whose sum is σ = 37343501172432. Its totient is φ = 2431811220480.

The previous prime is 10031221300267. The next prime is 10031221300339. The reversal of 10031221300320 is 2300312213001.

10031221300320 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 2 + 1 + 30 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10031221300293 and 10031221300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316626247 + ... + 316657926.

It is an arithmetic number, because the mean of its divisors is an integer number (259329869253).

Almost surely, 2^{10031221300320} is an apocalyptic number.

10031221300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031221300320 is an abundant number, since it is smaller than the sum of its proper divisors (27312279872112).

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

10031221300320 is a wasteful number, since it uses less digits than its factorization.

10031221300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633284205 (or 633284194 counting only the distinct ones).

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

Adding to 10031221300320 its reverse (2300312213001), we get a palindrome (12331533513321).

The spelling of 10031221300320 in words is "ten trillion, thirty-one billion, two hundred twenty-one million, three hundred thousand, three hundred twenty".