13311121313196 has 216 divisors, whose sum is σ = 40615411060224. Its totient is φ = 3662409885120.

The previous prime is 13311121313099. The next prime is 13311121313209. The reversal of 13311121313196 is 69131312111331.

13311121313196 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 121 + 313 + 196 = 666.

It is a super-2 number, since 2×13311121313196² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13311121313196.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4149661 + ... + 6621323.

It is an arithmetic number, because the mean of its divisors is an integer number (188034310464).

Almost surely, 2^{13311121313196} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311121313196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307705530112).

13311121313196 is an abundant number, since it is smaller than the sum of its proper divisors (27304289747028).

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

13311121313196 is a wasteful number, since it uses less digits than its factorization.

13311121313196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471801 (or 2471789 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The spelling of 13311121313196 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred ninety-six".