13121313322100 has 36 divisors (see below), whose sum is σ = 28476088351200. Its totient is φ = 5248002113760.

The previous prime is 13121313322097. The next prime is 13121313322109. The reversal of 13121313322100 is 122331312131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121313322109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5531270 + ... + 7539069.

It is an arithmetic number, because the mean of its divisors is an integer number (791002454200).

Almost surely, 2^{13121313322100} is an apocalyptic number.

13121313322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121313322100 is an abundant number, since it is smaller than the sum of its proper divisors (15354775029100).

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

13121313322100 is a wasteful number, since it uses less digits than its factorization.

13121313322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080392 (or 13080385 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13121313322100 its reverse (122331312131), we get a palindrome (13243644634231).

The spelling of 13121313322100 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred".