312121200313 has 16 divisors (see below), whose sum is σ = 340962120576. Its totient is φ = 283975770240.

The previous prime is 312121200283. The next prime is 312121200317. The reversal of 312121200313 is 313002121213.

It is a cyclic number.

It is not a de Polignac number, because 312121200313 - 2¹⁷ = 312121069241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312121200317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325106 + ... + 1542772.

It is an arithmetic number, because the mean of its divisors is an integer number (21310132536).

Almost surely, 2^312121200313 is an apocalyptic number.

It is an amenable number.

312121200313 is a deficient number, since it is larger than the sum of its proper divisors (28840920263).

312121200313 is a wasteful number, since it uses less digits than its factorization.

312121200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219264.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312121200313 its reverse (313002121213), we get a palindrome (625123321526).

The spelling of 312121200313 in words is "three hundred twelve billion, one hundred twenty-one million, two hundred thousand, three hundred thirteen".