145122352000313 has 2 divisors, whose sum is σ = 145122352000314. Its totient is φ = 145122352000312.

The previous prime is 145122352000271. The next prime is 145122352000337. The reversal of 145122352000313 is 313000253221541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125854360821289 + 19267991179024 = 11218483^2 + 4389532^2 .

It is a cyclic number.

It is not a de Polignac number, because 145122352000313 - 2¹⁴ = 145122351983929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145122352000313.

It is not a weakly prime, because it can be changed into another prime (145122352060313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72561176000156 + 72561176000157.

It is an arithmetic number, because the mean of its divisors is an integer number (72561176000157).

Almost surely, 2^{145122352000313} is an apocalyptic number.

It is an amenable number.

145122352000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

145122352000313 is an equidigital number, since it uses as much as digits as its factorization.

145122352000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 145122352000313 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, three hundred thirteen", and thus it is an aban number.