31312323200 has 144 divisors (see below), whose sum is σ = 79297473930. Its totient is φ = 12217344000.

The previous prime is 31312323199. The next prime is 31312323223. The reversal of 31312323200 is 232321313.

It can be written as a sum of positive squares in 9 ways, for example, as 344770624 + 30967552576 = 18568^2 + 175976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5376290 + ... + 5382110.

Almost surely, 2^31312323200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39648736965).

31312323200 is an abundant number, since it is smaller than the sum of its proper divisors (47985150730).

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

31312323200 is an equidigital number, since it uses as much as digits as its factorization.

31312323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31312323200 its reverse (232321313), we get a palindrome (31544644513).

The spelling of 31312323200 in words is "thirty-one billion, three hundred twelve million, three hundred twenty-three thousand, two hundred".