13021312101120 has 720 divisors, whose sum is σ = 49369926513600. Its totient is φ = 3265673822208.

The previous prime is 13021312101101. The next prime is 13021312101173. The reversal of 13021312101120 is 2110121312031.

13021312101120 is a `hidden beast` number, since 1 + 302 + 1 + 31 + 210 + 1 + 120 = 666.

13021312101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13021312101093 and 13021312101102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4270681356 + ... + 4270684404.

It is an arithmetic number, because the mean of its divisors is an integer number (68569342380).

Almost surely, 2^{13021312101120} is an apocalyptic number.

13021312101120 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 13021312101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684963256800).

13021312101120 is an abundant number, since it is smaller than the sum of its proper divisors (36348614412480).

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

13021312101120 is a wasteful number, since it uses less digits than its factorization.

13021312101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13021312101120 its reverse (2110121312031), we get a palindrome (15131433413151).

The spelling of 13021312101120 in words is "thirteen trillion, twenty-one billion, three hundred twelve million, one hundred one thousand, one hundred twenty".