13202122310130 has 384 divisors, whose sum is σ = 36393583564800. Its totient is φ = 3043640033280.

The previous prime is 13202122310107. The next prime is 13202122310197. The reversal of 13202122310130 is 3101322120231.

13202122310130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13202122310097 and 13202122310106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3260586346 + ... + 3260590394.

It is an arithmetic number, because the mean of its divisors is an integer number (94774957200).

Almost surely, 2^{13202122310130} is an apocalyptic number.

13202122310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202122310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196791782400).

13202122310130 is an abundant number, since it is smaller than the sum of its proper divisors (23191461254670).

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

13202122310130 is a wasteful number, since it uses less digits than its factorization.

13202122310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13202122310130 its reverse (3101322120231), we get a palindrome (16303444430361).

The spelling of 13202122310130 in words is "thirteen trillion, two hundred two billion, one hundred twenty-two million, three hundred ten thousand, one hundred thirty".