1131132321000 has 288 divisors, whose sum is σ = 4202394323400. Its totient is φ = 274213632000.

The previous prime is 1131132320917. The next prime is 1131132321019. The reversal of 1131132321000 is 1232311311.

1131132321000 is a `hidden beast` number, since 1 + 1 + 311 + 32 + 321 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 666218353284 + 464913967716 = 816222^2 + 681846^2 .

It is a super-3 number, since 3×1131132321000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 569656 + ... + 1608344.

Almost surely, 2^{1131132321000} is an apocalyptic number.

1131132321000 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 1131132321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101197161700).

1131132321000 is an abundant number, since it is smaller than the sum of its proper divisors (3071262002400).

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

1131132321000 is a wasteful number, since it uses less digits than its factorization.

1131132321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038738 (or 1038710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131132321000 its reverse (1232311311), we get a palindrome (1132364632311).

The spelling of 1131132321000 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-one thousand".