33313221100110 has 128 divisors (see below), whose sum is σ = 93850291261440. Its totient is φ = 7408075636224.

The previous prime is 33313221100079. The next prime is 33313221100127. The reversal of 33313221100110 is 1100112231333.

It is a happy number.

It is a super-2 number, since 2×33313221100110² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103389936 + ... + 103711644.

It is an arithmetic number, because the mean of its divisors is an integer number (733205400480).

Almost surely, 2^{33313221100110} is an apocalyptic number.

33313221100110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33313221100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46925145630720).

33313221100110 is an abundant number, since it is smaller than the sum of its proper divisors (60537070161330).

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

33313221100110 is a wasteful number, since it uses less digits than its factorization.

33313221100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335090.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 33313221100110 its reverse (1100112231333), we get a palindrome (34413333331443).

The spelling of 33313221100110 in words is "thirty-three trillion, three hundred thirteen billion, two hundred twenty-one million, one hundred thousand, one hundred ten".