1315140105216 has 880 divisors, whose sum is σ = 4322711146240. Its totient is φ = 355053404160.

The previous prime is 1315140105211. The next prime is 1315140105239. The reversal of 1315140105216 is 6125010415131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315140105211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16647343065 + ... + 16647343143.

Almost surely, 2^{1315140105216} is an apocalyptic number.

1315140105216 is a gapful number since it is divisible by the number (16) 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 1315140105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161355573120).

1315140105216 is an abundant number, since it is smaller than the sum of its proper divisors (3007571041024).

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

1315140105216 is an frugal number, since it uses more digits than its factorization.

1315140105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 1315140105216 in words is "one trillion, three hundred fifteen billion, one hundred forty million, one hundred five thousand, two hundred sixteen".