313324200000 has 1176 divisors, whose sum is σ = 1335970367424. Its totient is φ = 71383680000.

The previous prime is 313324199989. The next prime is 313324200001. The reversal of 313324200000 is 2423313.

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

It is not an unprimeable number, because it can be changed into a prime (313324200001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1020599847 + ... + 1020600153.

It is an arithmetic number, because the mean of its divisors is an integer number (1136029224).

Almost surely, 2^313324200000 is an apocalyptic number.

313324200000 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 313324200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667985183712).

313324200000 is an abundant number, since it is smaller than the sum of its proper divisors (1022646167424).

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

313324200000 is an frugal number, since it uses more digits than its factorization.

313324200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 313324200000 its reverse (2423313), we get a palindrome (313326623313).

The spelling of 313324200000 in words is "three hundred thirteen billion, three hundred twenty-four million, two hundred thousand".