22331313131232 has 384 divisors, whose sum is σ = 68915969095680. Its totient is φ = 6199977738240.

The previous prime is 22331313131213. The next prime is 22331313131233. The reversal of 22331313131232 is 23213131313322.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22331313131232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331313131233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6504895788 + ... + 6504899220.

It is an arithmetic number, because the mean of its divisors is an integer number (179468669520).

Almost surely, 2^{22331313131232} 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 22331313131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457984547840).

22331313131232 is an abundant number, since it is smaller than the sum of its proper divisors (46584655964448).

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

22331313131232 is a wasteful number, since it uses less digits than its factorization.

22331313131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5378 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 22331313131232 its reverse (23213131313322), we get a palindrome (45544444444554).

The spelling of 22331313131232 in words is "twenty-two trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred thirty-two".