312121373 has 2 divisors, whose sum is σ = 312121374. Its totient is φ = 312121372.

The previous prime is 312121367. The next prime is 312121429. The reversal of 312121373 is 373121213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234028804 + 78092569 = 15298^2 + 8837^2 .

It is an emirp because it is prime and its reverse (373121213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312121373 - 2¹⁰ = 312120349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312121363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060686 + 156060687.

It is an arithmetic number, because the mean of its divisors is an integer number (156060687).

Almost surely, 2^312121373 is an apocalyptic number.

It is an amenable number.

312121373 is a deficient number, since it is larger than the sum of its proper divisors (1).

312121373 is an equidigital number, since it uses as much as digits as its factorization.

312121373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 312121373 is about 17666.9570950971. The cubic root of 312121373 is about 678.3302262406.

Adding to 312121373 its reverse (373121213), we get a palindrome (685242586).

The spelling of 312121373 in words is "three hundred twelve million, one hundred twenty-one thousand, three hundred seventy-three".