10001300310 has 64 divisors (see below), whose sum is σ = 26689118400. Its totient is φ = 2665115136.

The previous prime is 10001300303. The next prime is 10001300317. The reversal of 10001300310 is 1300310001.

It is an interprime number because it is at equal distance from previous prime (10001300303) and next prime (10001300317).

It is a super-2 number, since 2×10001300310² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001300292 and 10001300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001300317) by changing a digit.

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, 389592 + ... + 414468.

It is an arithmetic number, because the mean of its divisors is an integer number (417017475).

Almost surely, 2^10001300310 is an apocalyptic number.

10001300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001300310 is an abundant number, since it is smaller than the sum of its proper divisors (16687818090).

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

10001300310 is a wasteful number, since it uses less digits than its factorization.

10001300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26382 (or 26376 counting only the distinct ones).

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

Adding to 10001300310 its reverse (1300310001), we get a palindrome (11301610311).

The spelling of 10001300310 in words is "ten billion, one million, three hundred thousand, three hundred ten".