32213113000032 has 192 divisors, whose sum is σ = 85710373560000. Its totient is φ = 10592150519808.

The previous prime is 32213112999973. The next prime is 32213113000037. The reversal of 32213113000032 is 23000031131223.

It is a junction number, because it is equal to n+sod(n) for n = 32213112999972 and 32213113000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213113000037) 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, 9383369388 + ... + 9383372820.

It is an arithmetic number, because the mean of its divisors is an integer number (446408195625).

Almost surely, 2^{32213113000032} is an apocalyptic number.

32213113000032 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 32213113000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42855186780000).

32213113000032 is an abundant number, since it is smaller than the sum of its proper divisors (53497260559968).

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

32213113000032 is a wasteful number, since it uses less digits than its factorization.

32213113000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32213113000032 its reverse (23000031131223), we get a palindrome (55213144131255).

The spelling of 32213113000032 in words is "thirty-two trillion, two hundred thirteen billion, one hundred thirteen million, thirty-two", and thus it is an aban number.