13002221211330 has 256 divisors, whose sum is σ = 36118128614400. Its totient is φ = 2970090934272.

The previous prime is 13002221211319. The next prime is 13002221211337. The reversal of 13002221211330 is 3311212220031.

13002221211330 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 = 13002221211297 and 13002221211306.

It is not an unprimeable number, because it can be changed into a prime (13002221211337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115773484 + ... + 115885736.

It is an arithmetic number, because the mean of its divisors is an integer number (141086439900).

Almost surely, 2^{13002221211330} is an apocalyptic number.

13002221211330 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 13002221211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059064307200).

13002221211330 is an abundant number, since it is smaller than the sum of its proper divisors (23115907403070).

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

13002221211330 is a wasteful number, since it uses less digits than its factorization.

13002221211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112685.

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

Adding to 13002221211330 its reverse (3311212220031), we get a palindrome (16313433431361).

The spelling of 13002221211330 in words is "thirteen trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, three hundred thirty".