13330202122132 has 144 divisors (see below), whose sum is σ = 28843286325840. Its totient is φ = 5356234211328.

The previous prime is 13330202122091. The next prime is 13330202122169. The reversal of 13330202122132 is 23122120203331.

It can be written as a sum of positive squares in 8 ways, for example, as 331552549636 + 12998649572496 = 575806^2 + 3605364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13330202122097 and 13330202122106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285577044 + ... + 1285587412.

It is an arithmetic number, because the mean of its divisors is an integer number (200300599485).

Almost surely, 2^{13330202122132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330202122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421643162920).

13330202122132 is an abundant number, since it is smaller than the sum of its proper divisors (15513084203708).

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

13330202122132 is a wasteful number, since it uses less digits than its factorization.

13330202122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13330202122132 its reverse (23122120203331), we get a palindrome (36452322325463).

The spelling of 13330202122132 in words is "thirteen trillion, three hundred thirty billion, two hundred two million, one hundred twenty-two thousand, one hundred thirty-two".