313001213220 has 36 divisors (see below), whose sum is σ = 949437013980. Its totient is φ = 83466990144.

The previous prime is 313001213219. The next prime is 313001213263. The reversal of 313001213220 is 22312100313.

313001213220 is a `hidden beast` number, since 31 + 300 + 12 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54416759076 + 258584454144 = 233274^2 + 508512^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313001213193 and 313001213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869447635 + ... + 869447994.

Almost surely, 2^313001213220 is an apocalyptic number.

313001213220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313001213220 is an abundant number, since it is smaller than the sum of its proper divisors (636435800760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313001213220 is a wasteful number, since it uses less digits than its factorization.

313001213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738895644 (or 1738895639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313001213220 its reverse (22312100313), we get a palindrome (335313313533).

The spelling of 313001213220 in words is "three hundred thirteen billion, one million, two hundred thirteen thousand, two hundred twenty".