330313030102100 has 72 divisors (see below), whose sum is σ = 758979970407288. Its totient is φ = 124347044147200.

The previous prime is 330313030102031. The next prime is 330313030102171. The reversal of 330313030102100 is 1201030313033.

It can be written as a sum of positive squares in 12 ways, for example, as 8838027385924 + 321475002716176 = 2972882^2 + 17929724^2 .

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, 29996954 + ... + 39502446.

It is an arithmetic number, because the mean of its divisors is an integer number (10541388477879).

Almost surely, 2^{330313030102100} is an apocalyptic number.

It is an amenable number.

330313030102100 is an abundant number, since it is smaller than the sum of its proper divisors (428666940305188).

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

330313030102100 is a wasteful number, since it uses less digits than its factorization.

330313030102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525965 (or 9525958 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 330313030102100 its reverse (1201030313033), we get a palindrome (331514060415133).

The spelling of 330313030102100 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty million, one hundred two thousand, one hundred".