312132104201041 has 8 divisors (see below), whose sum is σ = 312447575572200. Its totient is φ = 311816644957440.

The previous prime is 312132104201009. The next prime is 312132104201069. The reversal of 312132104201041 is 140102401231213.

It can be written as a sum of positive squares in 4 ways, for example, as 52338279630400 + 259793824570641 = 7234520^2 + 16118121^2 .

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 312132104201041 - 2⁵ = 312132104201009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312132104200997 and 312132104201015.

It is not an unprimeable number, because it can be changed into a prime (312132104202041) 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, 48918495 + ... + 54929803.

It is an arithmetic number, because the mean of its divisors is an integer number (39055946946525).

Almost surely, 2^{312132104201041} is an apocalyptic number.

It is an amenable number.

312132104201041 is a deficient number, since it is larger than the sum of its proper divisors (315471371159).

312132104201041 is a wasteful number, since it uses less digits than its factorization.

312132104201041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6063779.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312132104201041 its reverse (140102401231213), we get a palindrome (452234505432254).

The spelling of 312132104201041 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred four million, two hundred one thousand, forty-one".