10313530000 has 100 divisors (see below), whose sum is σ = 25036595100. Its totient is φ = 4114432000.

The previous prime is 10313529991. The next prime is 10313530039. The reversal of 10313530000 is 3531301.

It can be written as a sum of positive squares in 10 ways, for example, as 7562737296 + 2750792704 = 86964^2 + 52448^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 4488852 + ... + 4491148.

It is an arithmetic number, because the mean of its divisors is an integer number (250365951).

Almost surely, 2^10313530000 is an apocalyptic number.

10313530000 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 10313530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518297550).

10313530000 is an abundant number, since it is smaller than the sum of its proper divisors (14723065100).

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

10313530000 is an equidigital number, since it uses as much as digits as its factorization.

10313530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The spelling of 10313530000 in words is "ten billion, three hundred thirteen million, five hundred thirty thousand".