10100031300000 has 216 divisors, whose sum is σ = 35900160453612. Its totient is φ = 2693341440000.

The previous prime is 10100031299999. The next prime is 10100031300011. The reversal of 10100031300000 is 313000101.

It can be written as a sum of positive squares in 6 ways, for example, as 2126568892176 + 7973462407824 = 1458276^2 + 2823732^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 4711129 + ... + 6511128.

Almost surely, 2^{10100031300000} is an apocalyptic number.

10100031300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100031300000 is an abundant number, since it is smaller than the sum of its proper divisors (25800129153612).

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

10100031300000 is an equidigital number, since it uses as much as digits as its factorization.

10100031300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222298 (or 11222267 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10100031300000 its reverse (313000101), we get a palindrome (10100344300101).

The spelling of 10100031300000 in words is "ten trillion, one hundred billion, thirty-one million, three hundred thousand".