13301322102100 has 18 divisors (see below), whose sum is σ = 28863868961774. Its totient is φ = 5320528840800.

The previous prime is 13301322102083. The next prime is 13301322102127. The reversal of 13301322102100 is 120122310331.

It can be written as a sum of positive squares in 3 ways, for example, as 1507949616196 + 11793372485904 = 1227986^2 + 3434148^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 66506610411 + ... + 66506610610.

Almost surely, 2^{13301322102100} is an apocalyptic number.

13301322102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301322102100 is an abundant number, since it is smaller than the sum of its proper divisors (15562546859674).

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

13301322102100 is a wasteful number, since it uses less digits than its factorization.

13301322102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133013221035 (or 133013221028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13301322102100 its reverse (120122310331), we get a palindrome (13421444412431).

The spelling of 13301322102100 in words is "thirteen trillion, three hundred one billion, three hundred twenty-two million, one hundred two thousand, one hundred".