131122233000 has 320 divisors, whose sum is σ = 500016179520. Its totient is φ = 31786992000.

The previous prime is 131122232999. The next prime is 131122233007. The reversal of 131122233000 is 332221131.

131122233000 is a `hidden beast` number, since 1 + 311 + 2 + 22 + 330 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131122233007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 817419 + ... + 964581.

It is an arithmetic number, because the mean of its divisors is an integer number (1562550561).

Almost surely, 2^131122233000 is an apocalyptic number.

131122233000 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 131122233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250008089760).

131122233000 is an abundant number, since it is smaller than the sum of its proper divisors (368893946520).

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

131122233000 is a wasteful number, since it uses less digits than its factorization.

131122233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147207 (or 147184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131122233000 its reverse (332221131), we get a palindrome (131454454131).

The spelling of 131122233000 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirty-three thousand".