13201022012130 has 128 divisors (see below), whose sum is σ = 36023535820800. Its totient is φ = 3438201235392.

The previous prime is 13201022012093. The next prime is 13201022012131. The reversal of 13201022012130 is 3121022010231.

13201022012130 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 220 + 121 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13201022012131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363456111 + ... + 363492429.

It is an arithmetic number, because the mean of its divisors is an integer number (281433873600).

Almost surely, 2^{13201022012130} is an apocalyptic number.

13201022012130 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 13201022012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011767910400).

13201022012130 is an abundant number, since it is smaller than the sum of its proper divisors (22822513808670).

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

13201022012130 is a wasteful number, since it uses less digits than its factorization.

13201022012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67685 (or 67679 counting only the distinct ones).

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

Adding to 13201022012130 its reverse (3121022010231), we get a palindrome (16322044022361).

The spelling of 13201022012130 in words is "thirteen trillion, two hundred one billion, twenty-two million, twelve thousand, one hundred thirty".