131412334133201 has 8 divisors (see below), whose sum is σ = 151791787020384. Its totient is φ = 112438360755520.

The previous prime is 131412334133161. The next prime is 131412334133273. The reversal of 131412334133201 is 102331433214131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131412334133201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131412334103201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351369877175 + ... + 351369877548.

It is an arithmetic number, because the mean of its divisors is an integer number (18973973377548).

Almost surely, 2^{131412334133201} is an apocalyptic number.

131412334133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131412334133201 is a deficient number, since it is larger than the sum of its proper divisors (20379452887183).

131412334133201 is a wasteful number, since it uses less digits than its factorization.

131412334133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702739754751.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 131412334133201 its reverse (102331433214131), we get a palindrome (233743767347332).

The spelling of 131412334133201 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred thirty-three thousand, two hundred one".