13321002114 has 72 divisors (see below), whose sum is σ = 33595434288. Its totient is φ = 3803612400.

The previous prime is 13321002089. The next prime is 13321002181. The reversal of 13321002114 is 41120012331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784089 + ... + 1791539.

It is an arithmetic number, because the mean of its divisors is an integer number (466603254).

Almost surely, 2^13321002114 is an apocalyptic number.

13321002114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797717144).

13321002114 is an abundant number, since it is smaller than the sum of its proper divisors (20274432174).

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

13321002114 is a wasteful number, since it uses less digits than its factorization.

13321002114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9490 counting only the distinct ones).

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

Adding to 13321002114 its reverse (41120012331), we get a palindrome (54441014445).

The spelling of 13321002114 in words is "thirteen billion, three hundred twenty-one million, two thousand, one hundred fourteen".