33032133020100 has 72 divisors (see below), whose sum is σ = 95573584774080. Its totient is φ = 8808512286080.

The previous prime is 33032133020039. The next prime is 33032133020101. The reversal of 33032133020100 is 102033123033.

It is a super-2 number, since 2×33032133020100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33032133020101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69393706 + ... + 69868094.

It is an arithmetic number, because the mean of its divisors is an integer number (1327410899640).

Almost surely, 2^{33032133020100} is an apocalyptic number.

33032133020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33032133020100 is an abundant number, since it is smaller than the sum of its proper divisors (62541451753980).

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

33032133020100 is a wasteful number, since it uses less digits than its factorization.

33032133020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706509 (or 706502 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33032133020100 its reverse (102033123033), we get a palindrome (33134166143133).

The spelling of 33032133020100 in words is "thirty-three trillion, thirty-two billion, one hundred thirty-three million, twenty thousand, one hundred".