1310509655712 has 240 divisors, whose sum is σ = 3993846733800. Its totient is φ = 421056921600.

The previous prime is 1310509655711. The next prime is 1310509655723. The reversal of 1310509655712 is 2175569050131.

1310509655712 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 0 + 96 + 557 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1105702722576 + 204806933136 = 1051524^2 + 452556^2 .

It is not an unprimeable number, because it can be changed into a prime (1310509655711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45161464 + ... + 45190472.

Almost surely, 2^{1310509655712} is an apocalyptic number.

1310509655712 is a gapful number since it is divisible by the number (12) 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 1310509655712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996923366900).

1310509655712 is an abundant number, since it is smaller than the sum of its proper divisors (2683337078088).

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

1310509655712 is a wasteful number, since it uses less digits than its factorization.

1310509655712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29661 (or 29644 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 1310509655712 in words is "one trillion, three hundred ten billion, five hundred nine million, six hundred fifty-five thousand, seven hundred twelve".