313423011216 has 240 divisors, whose sum is σ = 1023742512000. Its totient is φ = 89476966656.

The previous prime is 313423011199. The next prime is 313423011217. The reversal of 313423011216 is 612110324313.

It is a happy number.

313423011216 is a `hidden beast` number, since 3 + 1 + 342 + 301 + 1 + 2 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313423011216.

It is not an unprimeable number, because it can be changed into a prime (313423011217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102190515 + ... + 102193581.

It is an arithmetic number, because the mean of its divisors is an integer number (4265593800).

Almost surely, 2^313423011216 is an apocalyptic number.

313423011216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313423011216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511871256000).

313423011216 is an abundant number, since it is smaller than the sum of its proper divisors (710319500784).

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

313423011216 is a wasteful number, since it uses less digits than its factorization.

313423011216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 313423011216 its reverse (612110324313), we get a palindrome (925533335529).

The spelling of 313423011216 in words is "three hundred thirteen billion, four hundred twenty-three million, eleven thousand, two hundred sixteen".