312003221313 has 8 divisors (see below), whose sum is σ = 475433480128. Its totient is φ = 178287555024.

The previous prime is 312003221311. The next prime is 312003221371. The reversal of 312003221313 is 313122300213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312003221313 - 2¹ = 312003221311 is a prime.

It is a super-3 number, since 3×312003221313³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14857296253 = 312003221313 / (3 + 1 + 2 + 0 + 0 + 3 + 2 + 2 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312003221313.

It is not an unprimeable number, because it can be changed into a prime (312003221311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7428648106 + ... + 7428648147.

It is an arithmetic number, because the mean of its divisors is an integer number (59429185016).

Almost surely, 2^312003221313 is an apocalyptic number.

It is an amenable number.

312003221313 is a deficient number, since it is larger than the sum of its proper divisors (163430258815).

312003221313 is a wasteful number, since it uses less digits than its factorization.

312003221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857296263.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312003221313 its reverse (313122300213), we get a palindrome (625125521526).

The spelling of 312003221313 in words is "three hundred twelve billion, three million, two hundred twenty-one thousand, three hundred thirteen".