312132132102353 has 2 divisors, whose sum is σ = 312132132102354. Its totient is φ = 312132132102352.

The previous prime is 312132132102319. The next prime is 312132132102437. The reversal of 312132132102353 is 353201231231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236379339884689 + 75752792217664 = 15374633^2 + 8703608^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132132102353 - 2¹⁶ = 312132132036817 is a prime.

It is not a weakly prime, because it can be changed into another prime (312132132122353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066066051176 + 156066066051177.

It is an arithmetic number, because the mean of its divisors is an integer number (156066066051177).

Almost surely, 2^{312132132102353} is an apocalyptic number.

It is an amenable number.

312132132102353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132132102353 is an equidigital number, since it uses as much as digits as its factorization.

312132132102353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 312132132102353 its reverse (353201231231213), we get a palindrome (665333363333566).

The spelling of 312132132102353 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred two thousand, three hundred fifty-three".