10000130320 has 80 divisors (see below), whose sum is σ = 25466963760. Its totient is φ = 3634921472.

The previous prime is 10000130311. The next prime is 10000130321. The reversal of 10000130320 is 2303100001.

It can be written as a sum of positive squares in 8 ways, for example, as 496220176 + 9503910144 = 22276^2 + 97488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000130297 and 10000130306.

It is not an unprimeable number, because it can be changed into a prime (10000130321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87337 + ... + 166216.

It is an arithmetic number, because the mean of its divisors is an integer number (318337047).

Almost surely, 2^10000130320 is an apocalyptic number.

10000130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000130320 is an abundant number, since it is smaller than the sum of its proper divisors (15466833440).

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

10000130320 is a wasteful number, since it uses less digits than its factorization.

10000130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253612 (or 253606 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10000130320 its reverse (2303100001), we get a palindrome (12303230321).

It can be divided in two parts, 100001 and 30320, that added together give a 4-th power (130321 = 19⁴).

The spelling of 10000130320 in words is "ten billion, one hundred thirty thousand, three hundred twenty".