31331023123232 has 288 divisors, whose sum is σ = 75525769509120. Its totient is φ = 12743730155520.

The previous prime is 31331023123193. The next prime is 31331023123237. The reversal of 31331023123232 is 23232132013313.

It is a junction number, because it is equal to n+sod(n) for n = 31331023123195 and 31331023123204.

It is not an unprimeable number, because it can be changed into a prime (31331023123237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380369732 + ... + 380452092.

It is an arithmetic number, because the mean of its divisors is an integer number (262242255240).

Almost surely, 2^{31331023123232} is an apocalyptic number.

31331023123232 is a gapful number since it is divisible by the number (32) 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 31331023123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37762884754560).

31331023123232 is an abundant number, since it is smaller than the sum of its proper divisors (44194746385888).

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

31331023123232 is a wasteful number, since it uses less digits than its factorization.

31331023123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82584 (or 82569 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 31331023123232 its reverse (23232132013313), we get a palindrome (54563155136545).

The spelling of 31331023123232 in words is "thirty-one trillion, three hundred thirty-one billion, twenty-three million, one hundred twenty-three thousand, two hundred thirty-two".