31131332232 has 512 divisors, whose sum is σ = 110300037120. Its totient is φ = 7057290240.

The previous prime is 31131332201. The next prime is 31131332233. The reversal of 31131332232 is 23223313113.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (31131332233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56912583 + ... + 56913129.

It is an arithmetic number, because the mean of its divisors is an integer number (215429760).

Almost surely, 2^31131332232 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 31131332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55150018560).

31131332232 is an abundant number, since it is smaller than the sum of its proper divisors (79168704888).

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

31131332232 is a wasteful number, since it uses less digits than its factorization.

31131332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 31131332232 its reverse (23223313113), we get a palindrome (54354645345).

It can be divided in two parts, 31131 and 332232, that added together give a palindrome (363363).

The spelling of 31131332232 in words is "thirty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, two hundred thirty-two".