13321121310 has 96 divisors (see below), whose sum is σ = 39760680960. Its totient is φ = 3031141824.

The previous prime is 13321121299. The next prime is 13321121323. The reversal of 13321121310 is 1312112331.

13321121310 is a `hidden beast` number, since 1 + 332 + 1 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×13321121310² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93081 + ... + 187899.

It is an arithmetic number, because the mean of its divisors is an integer number (414173760).

Almost surely, 2^13321121310 is an apocalyptic number.

13321121310 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 13321121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880340480).

13321121310 is an abundant number, since it is smaller than the sum of its proper divisors (26439559650).

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

13321121310 is a wasteful number, since it uses less digits than its factorization.

13321121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95062 (or 95059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321121310 its reverse (1312112331), we get a palindrome (14633233641).

The spelling of 13321121310 in words is "thirteen billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred ten".