13122000331193 has 8 divisors (see below), whose sum is σ = 14131431048000. Its totient is φ = 12112576196688.

The previous prime is 13122000331117. The next prime is 13122000331229. The reversal of 13122000331193 is 39113300022131.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13122000331193 - 2¹⁸ = 13122000069049 is a prime.

It is a super-3 number, since 3×13122000331193³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13122000331103) 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, 2975468 + ... + 5924306.

It is an arithmetic number, because the mean of its divisors is an integer number (1766428881000).

Almost surely, 2^{13122000331193} is an apocalyptic number.

13122000331193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13122000331193 is a deficient number, since it is larger than the sum of its proper divisors (1009430716807).

13122000331193 is a wasteful number, since it uses less digits than its factorization.

13122000331193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291151.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 13122000331193 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-one thousand, one hundred ninety-three".