1316216514312 has 96 divisors (see below), whose sum is σ = 4097552921280. Its totient is φ = 373888068480.

The previous prime is 1316216514293. The next prime is 1316216514313. The reversal of 1316216514312 is 2134156126131.

1316216514312 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 216 + 5 + 1 + 431 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1316216514313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7460614 + ... + 7634997.

It is an arithmetic number, because the mean of its divisors is an integer number (42682842930).

Almost surely, 2^{1316216514312} is an apocalyptic number.

1316216514312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1316216514312 is an abundant number, since it is smaller than the sum of its proper divisors (2781336406968).

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

1316216514312 is a wasteful number, since it uses less digits than its factorization.

1316216514312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095803 (or 15095796 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 1316216514312 in words is "one trillion, three hundred sixteen billion, two hundred sixteen million, five hundred fourteen thousand, three hundred twelve".