31314041200 has 120 divisors (see below), whose sum is σ = 81237942800. Its totient is φ = 11530874880.

The previous prime is 31314041177. The next prime is 31314041207. The reversal of 31314041200 is 214041313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314041207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962856 + ... + 1978744.

Almost surely, 2^31314041200 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 31314041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40618971400).

31314041200 is an abundant number, since it is smaller than the sum of its proper divisors (49923901600).

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

31314041200 is a wasteful number, since it uses less digits than its factorization.

31314041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31314041200 its reverse (214041313), we get a palindrome (31528082513).

The spelling of 31314041200 in words is "thirty-one billion, three hundred fourteen million, forty-one thousand, two hundred".