1310522265216 has 192 divisors, whose sum is σ = 3980036736000. Its totient is φ = 412765949952.

The previous prime is 1310522265191. The next prime is 1310522265259. The reversal of 1310522265216 is 6125622250131.

1310522265216 is a `hidden beast` number, since 1 + 3 + 105 + 2 + 2 + 26 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8304940 + ... + 8461268.

It is an arithmetic number, because the mean of its divisors is an integer number (20729358000).

Almost surely, 2^{1310522265216} is an apocalyptic number.

1310522265216 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 1310522265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990018368000).

1310522265216 is an abundant number, since it is smaller than the sum of its proper divisors (2669514470784).

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

1310522265216 is a wasteful number, since it uses less digits than its factorization.

1310522265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156751 (or 156736 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1310522265216 in words is "one trillion, three hundred ten billion, five hundred twenty-two million, two hundred sixty-five thousand, two hundred sixteen".