31313424000 has 256 divisors, whose sum is σ = 105572937600. Its totient is φ = 8207974400.

The previous prime is 31313423987. The next prime is 31313424007. The reversal of 31313424000 is 42431313.

It is not an unprimeable number, because it can be changed into a prime (31313424007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826472 + ... + 2837528.

Almost surely, 2^31313424000 is an apocalyptic number.

31313424000 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 31313424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52786468800).

31313424000 is an abundant number, since it is smaller than the sum of its proper divisors (74259513600).

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

31313424000 is a wasteful number, since it uses less digits than its factorization.

31313424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31313424000 its reverse (42431313), we get a palindrome (31355855313).

The spelling of 31313424000 in words is "thirty-one billion, three hundred thirteen million, four hundred twenty-four thousand".