31233132000 has 288 divisors, whose sum is σ = 126682605504. Its totient is φ = 7138944000.

The previous prime is 31233131989. The next prime is 31233132013. The reversal of 31233132000 is 23133213.

31233132000 is a `hidden beast` number, since 3 + 12 + 331 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 190030 + ... + 313970.

It is an arithmetic number, because the mean of its divisors is an integer number (439870158).

Almost surely, 2^31233132000 is an apocalyptic number.

31233132000 is a gapful number since it is divisible by the number (30) 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 31233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63341302752).

31233132000 is an abundant number, since it is smaller than the sum of its proper divisors (95449473504).

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

31233132000 is a wasteful number, since it uses less digits than its factorization.

31233132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123979 (or 123958 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31233132000 its reverse (23133213), we get a palindrome (31256265213).

The spelling of 31233132000 in words is "thirty-one billion, two hundred thirty-three million, one hundred thirty-two thousand".