312000133242013 has 2 divisors, whose sum is σ = 312000133242014. Its totient is φ = 312000133242012.

The previous prime is 312000133241983. The next prime is 312000133242101. The reversal of 312000133242013 is 310242331000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295481419922329 + 16518713319684 = 17189573^2 + 4064322^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000133242013 - 2¹³ = 312000133233821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312000139242013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000066621006 + 156000066621007.

It is an arithmetic number, because the mean of its divisors is an integer number (156000066621007).

Almost surely, 2^{312000133242013} is an apocalyptic number.

It is an amenable number.

312000133242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000133242013 is an equidigital number, since it uses as much as digits as its factorization.

312000133242013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 312000133242013 its reverse (310242331000213), we get a palindrome (622242464242226).

The spelling of 312000133242013 in words is "three hundred twelve trillion, one hundred thirty-three million, two hundred forty-two thousand, thirteen".