313224000422313 has 64 divisors (see below), whose sum is σ = 440023066509312. Its totient is φ = 197913131619840.

The previous prime is 313224000422293. The next prime is 313224000422317.

It is a happy number.

313224000422313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313224000422313 - 2¹⁴ = 313224000405929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313224000422317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6515566845 + ... + 6515614917.

It is an arithmetic number, because the mean of its divisors is an integer number (6875360414208).

Almost surely, 2^{313224000422313} is an apocalyptic number.

It is an amenable number.

313224000422313 is a deficient number, since it is larger than the sum of its proper divisors (126799066086999).

313224000422313 is a wasteful number, since it uses less digits than its factorization.

313224000422313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50494.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 313224000 and 422313, that added together give a palindrome (313646313).

The spelling of 313224000422313 in words is "three hundred thirteen trillion, two hundred twenty-four billion, four hundred twenty-two thousand, three hundred thirteen".