3313304244100 has 108 divisors (see below), whose sum is σ = 7607157399828. Its totient is φ = 1252431360000.

The previous prime is 3313304244017. The next prime is 3313304244149. The reversal of 3313304244100 is 14424033133.

It can be written as a sum of positive squares in 6 ways, for example, as 5845519936 + 3307458724164 = 76456^2 + 1818642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14361660 + ... + 14590540.

It is an arithmetic number, because the mean of its divisors is an integer number (70436642591).

Almost surely, 2^{3313304244100} 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 3313304244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803578699914).

3313304244100 is an abundant number, since it is smaller than the sum of its proper divisors (4293853155728).

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

3313304244100 is a wasteful number, since it uses less digits than its factorization.

3313304244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229334 (or 229308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3313304244100 its reverse (14424033133), we get a palindrome (3327728277233).

The spelling of 3313304244100 in words is "three trillion, three hundred thirteen billion, three hundred four million, two hundred forty-four thousand, one hundred".