131214341440401 has 8 divisors (see below), whose sum is σ = 175481012521824. Its totient is φ = 87211948992960.

The previous prime is 131214341440387. The next prime is 131214341440421. The reversal of 131214341440401 is 104044143412131.

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

It is not a de Polignac number, because 131214341440401 - 2²⁶ = 131214274331537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131214341440421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66069657336 + ... + 66069659321.

It is an arithmetic number, because the mean of its divisors is an integer number (21935126565228).

Almost surely, 2^{131214341440401} is an apocalyptic number.

It is an amenable number.

131214341440401 is a deficient number, since it is larger than the sum of its proper divisors (44266671081423).

131214341440401 is a wasteful number, since it uses less digits than its factorization.

131214341440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132139316991.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 131214341440401 its reverse (104044143412131), we get a palindrome (235258484852532).

The spelling of 131214341440401 in words is "one hundred thirty-one trillion, two hundred fourteen billion, three hundred forty-one million, four hundred forty thousand, four hundred one".