13102120013022 has 96 divisors (see below), whose sum is σ = 29939950010880. Its totient is φ = 4293580374720.

The previous prime is 13102120012957. The next prime is 13102120013027. The reversal of 13102120013022 is 22031002120131.

13102120013022 is a `hidden beast` number, since 1 + 310 + 2 + 1 + 200 + 130 + 22 = 666.

It is a super-2 number, since 2×13102120013022² (a number of 27 digits) contains 22 as substring.

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 = 13102120012986 and 13102120013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102120013027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8213497 + ... + 9678107.

It is an arithmetic number, because the mean of its divisors is an integer number (311874479280).

Almost surely, 2^{13102120013022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102120013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969975005440).

13102120013022 is an abundant number, since it is smaller than the sum of its proper divisors (16837829997858).

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

13102120013022 is a wasteful number, since it uses less digits than its factorization.

13102120013022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464940 (or 1464928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13102120013022 its reverse (22031002120131), we get a palindrome (35133122133153).

The spelling of 13102120013022 in words is "thirteen trillion, one hundred two billion, one hundred twenty million, thirteen thousand, twenty-two".