201331000 has 128 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 69888000.

The previous prime is 201330979. The next prime is 201331003. The reversal of 201331000 is 133102.

It is a super-2 number, since 2×201331000² = 81068343122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220545 + ... + 221455.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^201331000 is an apocalyptic number.

201331000 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 201331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

201331000 is an abundant number, since it is smaller than the sum of its proper divisors (336457160).

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

201331000 is a wasteful number, since it uses less digits than its factorization.

201331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 201331000 is about 14189.1155467844. The cubic root of 201331000 is about 586.0979696188.

Adding to 201331000 its reverse (133102), we get a palindrome (201464102).

The spelling of 201331000 in words is "two hundred one million, three hundred thirty-one thousand".