31533132000 has 192 divisors, whose sum is σ = 103430815488. Its totient is φ = 8398400000.

The previous prime is 31533131957. The next prime is 31533132031. The reversal of 31533132000 is 23133513.

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 31 ways as a sum of consecutive naturals, for example, 17411095 + ... + 17412905.

It is an arithmetic number, because the mean of its divisors is an integer number (538702164).

Almost surely, 2^31533132000 is an apocalyptic number.

31533132000 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 31533132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51715407744).

31533132000 is an abundant number, since it is smaller than the sum of its proper divisors (71897683488).

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

31533132000 is a wasteful number, since it uses less digits than its factorization.

31533132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 31533132000 its reverse (23133513), we get a palindrome (31556265513).

The spelling of 31533132000 in words is "thirty-one billion, five hundred thirty-three million, one hundred thirty-two thousand".