312132103342301 has 64 divisors (see below), whose sum is σ = 356827570348032. Its totient is φ = 270465868800000.

The previous prime is 312132103342291. The next prime is 312132103342307. The reversal of 312132103342301 is 103243301231213.

It is not a de Polignac number, because 312132103342301 - 2⁶ = 312132103342237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132103342307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12682613486 + ... + 12682638096.

It is an arithmetic number, because the mean of its divisors is an integer number (5575430786688).

Almost surely, 2^{312132103342301} is an apocalyptic number.

312132103342301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312132103342301 is a deficient number, since it is larger than the sum of its proper divisors (44695467005731).

312132103342301 is a wasteful number, since it uses less digits than its factorization.

312132103342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 312132103342301 its reverse (103243301231213), we get a palindrome (415375404573514).

The spelling of 312132103342301 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred three million, three hundred forty-two thousand, three hundred one".