1132261142100 has 216 divisors, whose sum is σ = 3633950849760. Its totient is φ = 271968364800.

The previous prime is 1132261142071. The next prime is 1132261142143. The reversal of 1132261142100 is 12411622311.

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, 3813619 + ... + 4099781.

Almost surely, 2^{1132261142100} is an apocalyptic number.

1132261142100 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 1132261142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816975424880).

1132261142100 is an abundant number, since it is smaller than the sum of its proper divisors (2501689707660).

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

1132261142100 is a wasteful number, since it uses less digits than its factorization.

1132261142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286311 (or 286293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1132261142100 its reverse (12411622311), we get a palindrome (1144672764411).

The spelling of 1132261142100 in words is "one trillion, one hundred thirty-two billion, two hundred sixty-one million, one hundred forty-two thousand, one hundred".