313020000000 has 864 divisors, whose sum is σ = 1183281345792. Its totient is φ = 79488000000.

The previous prime is 313019999951. The next prime is 313020000001. The reversal of 313020000000 is 20313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313020000001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6659999977 + ... + 6660000023.

Almost surely, 2^313020000000 is an apocalyptic number.

313020000000 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 313020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591640672896).

313020000000 is an abundant number, since it is smaller than the sum of its proper divisors (870261345792).

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

313020000000 is an frugal number, since it uses more digits than its factorization.

313020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

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

Adding to 313020000000 its reverse (20313), we get a palindrome (313020020313).

The spelling of 313020000000 in words is "three hundred thirteen billion, twenty million", and thus it is an aban number.