1131707827008 has 504 divisors, whose sum is σ = 3758593427680. Its totient is φ = 337285555200.

The previous prime is 1131707826937. The next prime is 1131707827021. The reversal of 1131707827008 is 8007287071311.

It is a happy number.

It is a super-2 number, since 2×1131707827008² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114784383 + ... + 114794241.

Almost surely, 2^{1131707827008} is an apocalyptic number.

1131707827008 is a gapful number since it is divisible by the number (18) 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 1131707827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879296713840).

1131707827008 is an abundant number, since it is smaller than the sum of its proper divisors (2626885600672).

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

1131707827008 is an equidigital number, since it uses as much as digits as its factorization.

1131707827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 1131707827008 in words is "one trillion, one hundred thirty-one billion, seven hundred seven million, eight hundred twenty-seven thousand, eight".