13002013321331 has 8 divisors (see below), whose sum is σ = 13010126881440. Its totient is φ = 12993901417728.

The previous prime is 13002013321321. The next prime is 13002013321333. The reversal of 13002013321331 is 13312331020031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13002013321331 is a prime.

It is a super-2 number, since 2×13002013321331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13002013321297 and 13002013321306.

It is not an unprimeable number, because it can be changed into a prime (13002013321333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15478730 + ... + 16297088.

It is an arithmetic number, because the mean of its divisors is an integer number (1626265860180).

Almost surely, 2^{13002013321331} is an apocalyptic number.

13002013321331 is a deficient number, since it is larger than the sum of its proper divisors (8113560109).

13002013321331 is an equidigital number, since it uses as much as digits as its factorization.

13002013321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828253.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13002013321331 its reverse (13312331020031), we get a palindrome (26314344341362).

The spelling of 13002013321331 in words is "thirteen trillion, two billion, thirteen million, three hundred twenty-one thousand, three hundred thirty-one".