31313324224 has 224 divisors, whose sum is σ = 81839206400. Its totient is φ = 11540828160.

The previous prime is 31313324221. The next prime is 31313324239. The reversal of 31313324224 is 42242331313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31313324192 and 31313324201.

It is not an unprimeable number, because it can be changed into a prime (31313324221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747697 + ... + 6752335.

It is an arithmetic number, because the mean of its divisors is an integer number (365353600).

Almost surely, 2^31313324224 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 31313324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40919603200).

31313324224 is an abundant number, since it is smaller than the sum of its proper divisors (50525882176).

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

31313324224 is a wasteful number, since it uses less digits than its factorization.

31313324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4741 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

Adding to 31313324224 its reverse (42242331313), we get a palindrome (73555655537).

The spelling of 31313324224 in words is "thirty-one billion, three hundred thirteen million, three hundred twenty-four thousand, two hundred twenty-four".