313020000 has 360 divisors, whose sum is σ = 1166701536. Its totient is φ = 79488000.

The previous prime is 313019983. The next prime is 313020007. The reversal of 313020000 is 20313.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6659977 + ... + 6660023.

Almost surely, 2^313020000 is an apocalyptic number.

313020000 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 313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583350768).

313020000 is an abundant number, since it is smaller than the sum of its proper divisors (853681536).

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

313020000 is a wasteful number, since it uses less digits than its factorization.

313020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

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

The square root of 313020000 is about 17692.3712373441. The cubic root of 313020000 is about 678.9805948082.

Adding to 313020000 its reverse (20313), we get a palindrome (313040313).

The spelling of 313020000 in words is "three hundred thirteen million, twenty thousand".