13101303221120 has 128 divisors (see below), whose sum is σ = 33582456662400. Its totient is φ = 4869821399040.

The previous prime is 13101303221099. The next prime is 13101303221183. The reversal of 13101303221120 is 2112230310131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13101303221120² (a number of 27 digits) contains 22 as substring.

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 = 13101303221092 and 13101303221101.

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 15 ways as a sum of consecutive naturals, for example, 6761771 + ... + 8480810.

It is an arithmetic number, because the mean of its divisors is an integer number (262362942675).

Almost surely, 2^{13101303221120} is an apocalyptic number.

13101303221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101303221120 is an abundant number, since it is smaller than the sum of its proper divisors (20481153441280).

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

13101303221120 is a wasteful number, since it uses less digits than its factorization.

13101303221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15242696 (or 15242684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101303221120 its reverse (2112230310131), we get a palindrome (15213533531251).

The spelling of 13101303221120 in words is "thirteen trillion, one hundred one billion, three hundred three million, two hundred twenty-one thousand, one hundred twenty".