13101310100120 has 64 divisors (see below), whose sum is σ = 32545204151040. Its totient is φ = 4706713801600.

The previous prime is 13101310100117. The next prime is 13101310100149. The reversal of 13101310100120 is 2100101310131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13101310100095 and 13101310100104.

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 15 ways as a sum of consecutive naturals, for example, 179335196 + ... + 179408235.

It is an arithmetic number, because the mean of its divisors is an integer number (508518814860).

Almost surely, 2^{13101310100120} is an apocalyptic number.

13101310100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101310100120 is an abundant number, since it is smaller than the sum of its proper divisors (19443894050920).

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

13101310100120 is a wasteful number, since it uses less digits than its factorization.

13101310100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358743536 (or 358743532 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13101310100120 its reverse (2100101310131), we get a palindrome (15201411410251).

The spelling of 13101310100120 in words is "thirteen trillion, one hundred one billion, three hundred ten million, one hundred thousand, one hundred twenty".