316351510013220 has 384 divisors, whose sum is σ = 1024639580160000. Its totient is φ = 72121400317440.

The previous prime is 316351510013197. The next prime is 316351510013243. The reversal of 316351510013220 is 22310015153613.

It is an interprime number because it is at equal distance from previous prime (316351510013197) and next prime (316351510013243).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20677913131 + ... + 20677928429.

It is an arithmetic number, because the mean of its divisors is an integer number (2668332240000).

Almost surely, 2^{316351510013220} is an apocalyptic number.

316351510013220 is a gapful number since it is divisible by the number (30) 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 316351510013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512319790080000).

316351510013220 is an abundant number, since it is smaller than the sum of its proper divisors (708288070146780).

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

316351510013220 is a wasteful number, since it uses less digits than its factorization.

316351510013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27343 (or 27341 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 316351510013220 its reverse (22310015153613), we get a palindrome (338661525166833).

The spelling of 316351510013220 in words is "three hundred sixteen trillion, three hundred fifty-one billion, five hundred ten million, thirteen thousand, two hundred twenty".