32013222113340 has 288 divisors, whose sum is σ = 105153503809536. Its totient is φ = 7836723924480.

The previous prime is 32013222113339. The next prime is 32013222113359. The reversal of 32013222113340 is 4331122231023.

32013222113340 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 322 + 2 + 1 + 1 + 334 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2075134707 + ... + 2075150133.

It is an arithmetic number, because the mean of its divisors is an integer number (365116332672).

Almost surely, 2^{32013222113340} is an apocalyptic number.

32013222113340 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 32013222113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52576751904768).

32013222113340 is an abundant number, since it is smaller than the sum of its proper divisors (73140281696196).

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

32013222113340 is a wasteful number, since it uses less digits than its factorization.

32013222113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32013222113340 its reverse (4331122231023), we get a palindrome (36344344344363).

The spelling of 32013222113340 in words is "thirty-two trillion, thirteen billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred forty".