13133101123120 has 80 divisors (see below), whose sum is σ = 33311547924480. Its totient is φ = 4775497107200.

The previous prime is 13133101123061. The next prime is 13133101123133. The reversal of 13133101123120 is 2132110133131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13133101123120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13133101123091 and 13133101123100.

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, 24923985 + ... + 25445455.

It is an arithmetic number, because the mean of its divisors is an integer number (416394349056).

Almost surely, 2^{13133101123120} is an apocalyptic number.

13133101123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133101123120 is an abundant number, since it is smaller than the sum of its proper divisors (20178446801360).

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

13133101123120 is a wasteful number, since it uses less digits than its factorization.

13133101123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550114 (or 550108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13133101123120 its reverse (2132110133131), we get a palindrome (15265211256251).

The spelling of 13133101123120 in words is "thirteen trillion, one hundred thirty-three billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty".