313302130000 has 100 divisors (see below), whose sum is σ = 768928479748. Its totient is φ = 123603840000.

The previous prime is 313302129971. The next prime is 313302130019. The reversal of 313302130000 is 31203313.

It can be written as a sum of positive squares in 10 ways, for example, as 191378251024 + 121923878976 = 437468^2 + 349176^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515410 + ... + 944590.

Almost surely, 2^313302130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313302130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384464239874).

313302130000 is an abundant number, since it is smaller than the sum of its proper divisors (455626349748).

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

313302130000 is an equidigital number, since it uses as much as digits as its factorization.

313302130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429282 (or 429261 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 313302130000 its reverse (31203313), we get a palindrome (313333333313).

The spelling of 313302130000 in words is "three hundred thirteen billion, three hundred two million, one hundred thirty thousand".