131414213423201 has 8 divisors (see below), whose sum is σ = 131736008161800. Its totient is φ = 131092421068800.

The previous prime is 131414213423197. The next prime is 131414213423219. The reversal of 131414213423201 is 102324312414131.

It can be written as a sum of positive squares in 4 ways, for example, as 42814840323025 + 88599373100176 = 6543305^2 + 9412724^2 .

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 131414213423201 - 2² = 131414213423197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131414213423221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168200465 + ... + 168979953.

It is an arithmetic number, because the mean of its divisors is an integer number (16467001020225).

Almost surely, 2^{131414213423201} is an apocalyptic number.

It is an amenable number.

131414213423201 is a deficient number, since it is larger than the sum of its proper divisors (321794738599).

131414213423201 is an equidigital number, since it uses as much as digits as its factorization.

131414213423201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192099.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131414213423201 its reverse (102324312414131), we get a palindrome (233738525837332).

The spelling of 131414213423201 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred thirteen million, four hundred twenty-three thousand, two hundred one".