13033014334340 has 768 divisors, whose sum is σ = 41015983841280. Its totient is φ = 3338635345920.

The previous prime is 13033014334303. The next prime is 13033014334393. The reversal of 13033014334340 is 4343341033031.

It is a super-2 number, since 2×13033014334340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13033014334297 and 13033014334306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7520492114 + ... + 7520493846.

It is an arithmetic number, because the mean of its divisors is an integer number (53406228960).

Almost surely, 2^{13033014334340} is an apocalyptic number.

13033014334340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033014334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20507991920640).

13033014334340 is an abundant number, since it is smaller than the sum of its proper divisors (27982969506940).

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

13033014334340 is a wasteful number, since it uses less digits than its factorization.

13033014334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 13033014334340 its reverse (4343341033031), we get a palindrome (17376355367371).

The spelling of 13033014334340 in words is "thirteen trillion, thirty-three billion, fourteen million, three hundred thirty-four thousand, three hundred forty".