32213101340000 has 480 divisors, whose sum is σ = 91237949510400. Its totient is φ = 10963319040000.

The previous prime is 32213101339973. The next prime is 32213101340027. The reversal of 32213101340000 is 4310131223.

It is an interprime number because it is at equal distance from previous prime (32213101339973) and next prime (32213101340027).

It is a super-2 number, since 2×32213101340000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25586259371 + ... + 25586260629.

It is an arithmetic number, because the mean of its divisors is an integer number (190079061480).

Almost surely, 2^{32213101340000} 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 32213101340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45618974755200).

32213101340000 is an abundant number, since it is smaller than the sum of its proper divisors (59024848170400).

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

32213101340000 is a wasteful number, since it uses less digits than its factorization.

32213101340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32213101340000 its reverse (4310131223), we get a palindrome (32217411471223).

The spelling of 32213101340000 in words is "thirty-two trillion, two hundred thirteen billion, one hundred one million, three hundred forty thousand".