313132200000 has 168 divisors, whose sum is σ = 1035555220224. Its totient is φ = 83501760000.

The previous prime is 313132199983. The next prime is 313132200011. The reversal of 313132200000 is 2231313.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 339057 + ... + 860943.

It is an arithmetic number, because the mean of its divisors is an integer number (6164019168).

Almost surely, 2^313132200000 is an apocalyptic number.

313132200000 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 313132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517777610112).

313132200000 is an abundant number, since it is smaller than the sum of its proper divisors (722423020224).

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

313132200000 is an frugal number, since it uses more digits than its factorization.

313132200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521927 (or 521897 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313132200000 its reverse (2231313), we get a palindrome (313134431313).

The spelling of 313132200000 in words is "three hundred thirteen billion, one hundred thirty-two million, two hundred thousand".