32000201333100 has 3456 divisors, whose sum is σ = 147820038912000. Its totient is φ = 5568262963200.

The previous prime is 32000201333077. The next prime is 32000201333159. The reversal of 32000201333100 is 133310200023.

32000201333100 is a `hidden beast` number, since 3 + 200 + 0 + 20 + 133 + 310 + 0 = 666.

It is a super-2 number, since 2×32000201333100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 84433248711 + ... + 84433249089.

It is an arithmetic number, because the mean of its divisors is an integer number (42772002000).

Almost surely, 2^{32000201333100} is an apocalyptic number.

32000201333100 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 32000201333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73910019456000).

32000201333100 is an abundant number, since it is smaller than the sum of its proper divisors (115819837578900).

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

32000201333100 is a wasteful number, since it uses less digits than its factorization.

32000201333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32000201333100 its reverse (133310200023), we get a palindrome (32133511533123).

The spelling of 32000201333100 in words is "thirty-two trillion, two hundred one million, three hundred thirty-three thousand, one hundred".