1133442011000 has 128 divisors (see below), whose sum is σ = 2856932769600. Its totient is φ = 418405132800.

The previous prime is 1133442010999. The next prime is 1133442011011. The reversal of 1133442011000 is 1102443311.

It is a super-5 number, since 5×1133442011000⁵ (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82192106 + ... + 82205894.

Almost surely, 2^{1133442011000} is an apocalyptic number.

1133442011000 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 1133442011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428466384800).

1133442011000 is an abundant number, since it is smaller than the sum of its proper divisors (1723490758600).

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

1133442011000 is a wasteful number, since it uses less digits than its factorization.

1133442011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1133442011000 its reverse (1102443311), we get a palindrome (1134544454311).

The spelling of 1133442011000 in words is "one trillion, one hundred thirty-three billion, four hundred forty-two million, eleven thousand".