313303002000 has 160 divisors (see below), whose sum is σ = 1011946076544. Its totient is φ = 83393856000.

The previous prime is 313303001989. The next prime is 313303002029. The reversal of 313303002000 is 200303313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234270 + ... + 3329730.

Almost surely, 2^313303002000 is an apocalyptic number.

313303002000 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 313303002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505973038272).

313303002000 is an abundant number, since it is smaller than the sum of its proper divisors (698643074544).

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

313303002000 is a wasteful number, since it uses less digits than its factorization.

313303002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96034 (or 96018 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 313303002000 its reverse (200303313), we get a palindrome (313503305313).

The spelling of 313303002000 in words is "three hundred thirteen billion, three hundred three million, two thousand".