312132103123201 has 8 divisors (see below), whose sum is σ = 312153081131304. Its totient is φ = 312111125664000.

The previous prime is 312132103123151. The next prime is 312132103123271. The reversal of 312132103123201 is 102321301231213.

It can be written as a sum of positive squares in 4 ways, for example, as 2681082034801 + 309451021088400 = 1637401^2 + 17591220^2 .

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 312132103123201 - 2¹⁵ = 312132103090433 is a prime.

It is a super-2 number, since 2×312132103123201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312132103123271) 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, 2181251811 + ... + 2181394903.

It is an arithmetic number, because the mean of its divisors is an integer number (39019135141413).

Almost surely, 2^{312132103123201} is an apocalyptic number.

It is an amenable number.

312132103123201 is a deficient number, since it is larger than the sum of its proper divisors (20978008103).

312132103123201 is a wasteful number, since it uses less digits than its factorization.

312132103123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274451.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 312132103123201 its reverse (102321301231213), we get a palindrome (414453404354414).

The spelling of 312132103123201 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred three million, one hundred twenty-three thousand, two hundred one".