13201066611136 has 56 divisors (see below), whose sum is σ = 26697926318544. Its totient is φ = 6474102835200.

The previous prime is 13201066611121. The next prime is 13201066611151. The reversal of 13201066611136 is 63111666010231.

It is an interprime number because it is at equal distance from previous prime (13201066611121) and next prime (13201066611151).

It is a junction number, because it is equal to n+sod(n) for n = 13201066611095 and 13201066611104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11077911 + ... + 12211561.

Almost surely, 2^{13201066611136} is an apocalyptic number.

13201066611136 is a gapful number since it is divisible by the number (16) 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 13201066611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348963159272).

13201066611136 is an abundant number, since it is smaller than the sum of its proper divisors (13496859707408).

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

13201066611136 is a wasteful number, since it uses less digits than its factorization.

13201066611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137149 (or 1137139 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 13201066611136 in words is "thirteen trillion, two hundred one billion, sixty-six million, six hundred eleven thousand, one hundred thirty-six".