1131312321000 has 192 divisors, whose sum is σ = 3829455040320. Its totient is φ = 301239945600.

The previous prime is 1131312320951. The next prime is 1131312321011. The reversal of 1131312321000 is 1232131311.

1131312321000 is a `hidden beast` number, since 1 + 1 + 31 + 312 + 321 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6054979 + ... + 6239021.

It is an arithmetic number, because the mean of its divisors is an integer number (19945078335).

Almost surely, 2^{1131312321000} is an apocalyptic number.

1131312321000 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 1131312321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914727520160).

1131312321000 is an abundant number, since it is smaller than the sum of its proper divisors (2698142719320).

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

1131312321000 is a wasteful number, since it uses less digits than its factorization.

1131312321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184753 (or 184736 counting only the distinct ones).

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

Adding to 1131312321000 its reverse (1232131311), we get a palindrome (1132544452311).

The spelling of 1131312321000 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, three hundred twenty-one thousand".