13101221123120 has 120 divisors (see below), whose sum is σ = 32985926265600. Its totient is φ = 4837044645888.

The previous prime is 13101221123119. The next prime is 13101221123143. The reversal of 13101221123120 is 2132112210131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13101221123092 and 13101221123101.

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, 298486136 + ... + 298530024.

It is an arithmetic number, because the mean of its divisors is an integer number (274882718880).

Almost surely, 2^{13101221123120} is an apocalyptic number.

13101221123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101221123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492963132800).

13101221123120 is an abundant number, since it is smaller than the sum of its proper divisors (19884705142480).

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

13101221123120 is a wasteful number, since it uses less digits than its factorization.

13101221123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66007 (or 65988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13101221123120 its reverse (2132112210131), we get a palindrome (15233333333251).

The spelling of 13101221123120 in words is "thirteen trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".