313322130000 has 600 divisors, whose sum is σ = 1202328331776. Its totient is φ = 75513600000.

The previous prime is 313322129987. The next prime is 313322130013. The reversal of 313322130000 is 31223313.

313322130000 is a `hidden beast` number, since 31 + 332 + 2 + 1 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (313322129987) and next prime (313322130013).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189089172 + ... + 189090828.

Almost surely, 2^313322130000 is an apocalyptic number.

313322130000 is a gapful number since it is divisible by the number (30) 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 313322130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601164165888).

313322130000 is an abundant number, since it is smaller than the sum of its proper divisors (889006201776).

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

313322130000 is a wasteful number, since it uses less digits than its factorization.

313322130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313322130000 its reverse (31223313), we get a palindrome (313353353313).

The spelling of 313322130000 in words is "three hundred thirteen billion, three hundred twenty-two million, one hundred thirty thousand".