1317275136000 has 1040 divisors, whose sum is σ = 5128214465088. Its totient is φ = 335757312000.

The previous prime is 1317275135983. The next prime is 1317275136031. The reversal of 1317275136000 is 6315727131.

1317275136000 is a `hidden beast` number, since 1 + 3 + 17 + 27 + 5 + 13 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 953855310 + ... + 953856690.

Almost surely, 2^{1317275136000} is an apocalyptic number.

1317275136000 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 1317275136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564107232544).

1317275136000 is an abundant number, since it is smaller than the sum of its proper divisors (3810939329088).

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

1317275136000 is an equidigital number, since it uses as much as digits as its factorization.

1317275136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 1317275136000 in words is "one trillion, three hundred seventeen billion, two hundred seventy-five million, one hundred thirty-six thousand".