313000020000 has 360 divisors, whose sum is σ = 1142346641436. Its totient is φ = 81209088000.

The previous prime is 313000019957. The next prime is 313000020017. The reversal of 313000020000 is 20000313.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1595842704 + 311404177296 = 39948^2 + 558036^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6636502 + ... + 6683498.

Almost surely, 2^313000020000 is an apocalyptic number.

313000020000 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 313000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571173320718).

313000020000 is an abundant number, since it is smaller than the sum of its proper divisors (829346621436).

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

313000020000 is a wasteful number, since it uses less digits than its factorization.

313000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47070 (or 47044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 313000020000 its reverse (20000313), we get a palindrome (313020020313).

The spelling of 313000020000 in words is "three hundred thirteen billion, twenty thousand".