312141131201401 has 8 divisors (see below), whose sum is σ = 312685694081640. Its totient is φ = 311597037169152.

The previous prime is 312141131201381. The next prime is 312141131201407. The reversal of 312141131201401 is 104102131141213.

It can be written as a sum of positive squares in 4 ways, for example, as 204718291680400 + 107422839521001 = 14307980^2 + 10364499^2 .

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 312141131201401 - 2¹¹ = 312141131199353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312141131201407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115879300 + ... + 118542373.

It is an arithmetic number, because the mean of its divisors is an integer number (39085711760205).

Almost surely, 2^{312141131201401} is an apocalyptic number.

It is an amenable number.

312141131201401 is a deficient number, since it is larger than the sum of its proper divisors (544562880239).

312141131201401 is a wasteful number, since it uses less digits than its factorization.

312141131201401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234423995.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 312141131201401 its reverse (104102131141213), we get a palindrome (416243262342614).

The spelling of 312141131201401 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty-one million, two hundred one thousand, four hundred one".