33220113310100 has 72 divisors (see below), whose sum is σ = 73954965438648. Its totient is φ = 12944796467200.

The previous prime is 33220113310081. The next prime is 33220113310117. The reversal of 33220113310100 is 101331102233.

It can be written as a sum of positive squares in 12 ways, for example, as 16648472704516 + 16571640605584 = 4080254^2 + 4070828^2 .

It is a super-2 number, since 2×33220113310100² (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 23 ways as a sum of consecutive naturals, for example, 3208397 + ... + 8759796.

It is an arithmetic number, because the mean of its divisors is an integer number (1027152297759).

Almost surely, 2^{33220113310100} is an apocalyptic number.

It is an amenable number.

33220113310100 is an abundant number, since it is smaller than the sum of its proper divisors (40734852128548).

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

33220113310100 is a wasteful number, since it uses less digits than its factorization.

33220113310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968925 (or 11968918 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33220113310100 its reverse (101331102233), we get a palindrome (33321444412333).

The spelling of 33220113310100 in words is "thirty-three trillion, two hundred twenty billion, one hundred thirteen million, three hundred ten thousand, one hundred".