131414400401 has 4 divisors (see below), whose sum is σ = 132769188132. Its totient is φ = 130059612672.

The previous prime is 131414400389. The next prime is 131414400419. The reversal of 131414400401 is 104004414131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34069776400 + 97344624001 = 184580^2 + 312001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131414400401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131414400451) 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 3 ways as a sum of consecutive naturals, for example, 677393720 + ... + 677393913.

It is an arithmetic number, because the mean of its divisors is an integer number (33192297033).

Almost surely, 2^131414400401 is an apocalyptic number.

It is an amenable number.

131414400401 is a deficient number, since it is larger than the sum of its proper divisors (1354787731).

131414400401 is an equidigital number, since it uses as much as digits as its factorization.

131414400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354787730.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 131414400401 its reverse (104004414131), we get a palindrome (235418814532).

The spelling of 131414400401 in words is "one hundred thirty-one billion, four hundred fourteen million, four hundred thousand, four hundred one".