32133011333112 has 128 divisors (see below), whose sum is σ = 90760457179200. Its totient is φ = 10530903052800.

The previous prime is 32133011333089. The next prime is 32133011333119. The reversal of 32133011333112 is 21133311033123.

32133011333112 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 301 + 13 + 331 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133011333119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30324138 + ... + 31365894.

Almost surely, 2^{32133011333112} 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 32133011333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45380228589600).

32133011333112 is an abundant number, since it is smaller than the sum of its proper divisors (58627445846088).

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

32133011333112 is a wasteful number, since it uses less digits than its factorization.

32133011333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044174 (or 1044164 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 32133011333112 its reverse (21133311033123), we get a palindrome (53266322366235).

The spelling of 32133011333112 in words is "thirty-two trillion, one hundred thirty-three billion, eleven million, three hundred thirty-three thousand, one hundred twelve".