131412400112401 has 8 divisors (see below), whose sum is σ = 138334493170400. Its totient is φ = 124490872149120.

The previous prime is 131412400112353. The next prime is 131412400112417. The reversal of 131412400112401 is 104211004214131.

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 131412400112401 - 2¹⁵ = 131412400079633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131412400112101) 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, 140796291 + ... + 141726568.

It is an arithmetic number, because the mean of its divisors is an integer number (17291811646300).

Almost surely, 2^{131412400112401} is an apocalyptic number.

It is an amenable number.

131412400112401 is a deficient number, since it is larger than the sum of its proper divisors (6922093057999).

131412400112401 is a wasteful number, since it uses less digits than its factorization.

131412400112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282547359.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 131412400112401 its reverse (104211004214131), we get a palindrome (235623404326532).

The spelling of 131412400112401 in words is "one hundred thirty-one trillion, four hundred twelve billion, four hundred million, one hundred twelve thousand, four hundred one".