201132331000 has 64 divisors (see below), whose sum is σ = 471107688480. Its totient is φ = 80374636800.

The previous prime is 201132330937. The next prime is 201132331027. The reversal of 201132331000 is 133231102.

201132331000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201132331000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935647 + ... + 1130353.

Almost surely, 2^201132331000 is an apocalyptic number.

201132331000 is a gapful number since it is divisible by the number (20) 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 201132331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235553844240).

201132331000 is an abundant number, since it is smaller than the sum of its proper divisors (269975357480).

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

201132331000 is a wasteful number, since it uses less digits than its factorization.

201132331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195761 (or 195747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201132331000 its reverse (133231102), we get a palindrome (201265562102).

The spelling of 201132331000 in words is "two hundred one billion, one hundred thirty-two million, three hundred thirty-one thousand".