31431312324 has 144 divisors (see below), whose sum is σ = 86840208000. Its totient is φ = 9547614720.

The previous prime is 31431312301. The next prime is 31431312389. The reversal of 31431312324 is 42321313413.

It is a happy number.

31431312324 is a `hidden beast` number, since 3 + 14 + 313 + 12 + 324 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5571097 + ... + 5576735.

It is an arithmetic number, because the mean of its divisors is an integer number (603057000).

Almost surely, 2^31431312324 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 31431312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43420104000).

31431312324 is an abundant number, since it is smaller than the sum of its proper divisors (55408895676).

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

31431312324 is a wasteful number, since it uses less digits than its factorization.

31431312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5973 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31431312324 its reverse (42321313413), we get a palindrome (73752625737).

The spelling of 31431312324 in words is "thirty-one billion, four hundred thirty-one million, three hundred twelve thousand, three hundred twenty-four".