13313312121000 has 128 divisors (see below), whose sum is σ = 41626483666560. Its totient is φ = 3542614016000.

The previous prime is 13313312120957. The next prime is 13313312121017. The reversal of 13313312121000 is 12121331331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350361 + ... + 6152360.

It is an arithmetic number, because the mean of its divisors is an integer number (325206903645).

Almost surely, 2^{13313312121000} is an apocalyptic number.

13313312121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313312121000 is an abundant number, since it is smaller than the sum of its proper divisors (28313171545560).

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

13313312121000 is a wasteful number, since it uses less digits than its factorization.

13313312121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503212 (or 9503198 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13313312121000 its reverse (12121331331), we get a palindrome (13325433452331).

The spelling of 13313312121000 in words is "thirteen trillion, three hundred thirteen billion, three hundred twelve million, one hundred twenty-one thousand".