10200300031320 has 128 divisors (see below), whose sum is σ = 34985747197440. Its totient is φ = 2330611153920.

The previous prime is 10200300031319. The next prime is 10200300031393. The reversal of 10200300031320 is 2313000300201.

It is a super-2 number, since 2×10200300031320² (a number of 27 digits) contains 22 as substring.

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 10200300031320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94246 + ... + 4517685.

It is an arithmetic number, because the mean of its divisors is an integer number (273326149980).

Almost surely, 2^{10200300031320} is an apocalyptic number.

10200300031320 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 10200300031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492873598720).

10200300031320 is an abundant number, since it is smaller than the sum of its proper divisors (24785447166120).

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

10200300031320 is a wasteful number, since it uses less digits than its factorization.

10200300031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614585 (or 4614581 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10200300031320 its reverse (2313000300201), we get a palindrome (12513300331521).

The spelling of 10200300031320 in words is "ten trillion, two hundred billion, three hundred million, thirty-one thousand, three hundred twenty".