313001216 has 72 divisors (see below), whose sum is σ = 698459328. Its totient is φ = 138752000.

The previous prime is 313001209. The next prime is 313001237. The reversal of 313001216 is 612100313.

It is a super-2 number, since 2×313001216² = 195939522434957312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313001194 and 313001203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114101 + ... + 116811.

It is an arithmetic number, because the mean of its divisors is an integer number (9700824).

Almost surely, 2^313001216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349229664).

313001216 is an abundant number, since it is smaller than the sum of its proper divisors (385458112).

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

313001216 is a wasteful number, since it uses less digits than its factorization.

313001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 313001216 is about 17691.8403791126. The cubic root of 313001216 is about 678.9670129001.

Adding to 313001216 its reverse (612100313), we get a palindrome (925101529).

The spelling of 313001216 in words is "three hundred thirteen million, one thousand, two hundred sixteen".