1312524380160 has 2304 divisors, whose sum is σ = 5929114464000. Its totient is φ = 273489592320.

The previous prime is 1312524380077. The next prime is 1312524380173. The reversal of 1312524380160 is 610834252131.

1312524380160 is a `hidden beast` number, since 1 + 3 + 12 + 52 + 438 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×1312524380160³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9442621371 + ... + 9442621509.

It is an arithmetic number, because the mean of its divisors is an integer number (2573400375).

Almost surely, 2^{1312524380160} is an apocalyptic number.

1312524380160 is a gapful number since it is divisible by the number (10) 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 1312524380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964557232000).

1312524380160 is an abundant number, since it is smaller than the sum of its proper divisors (4616590083840).

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

1312524380160 is a wasteful number, since it uses less digits than its factorization.

1312524380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1312524380160 in words is "one trillion, three hundred twelve billion, five hundred twenty-four million, three hundred eighty thousand, one hundred sixty".