331201000 has 128 divisors (see below), whose sum is σ = 848484000. Its totient is φ = 120268800.

The previous prime is 331200983. The next prime is 331201019. The reversal of 331201000 is 102133.

It can be written as a sum of positive squares in 16 ways, for example, as 20666116 + 310534884 = 4546^2 + 17622^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948826 + ... + 949174.

Almost surely, 2^331201000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424242000).

331201000 is an abundant number, since it is smaller than the sum of its proper divisors (517283000).

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

331201000 is a wasteful number, since it uses less digits than its factorization.

331201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

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

The square root of 331201000 is about 18198.9285398894. The cubic root of 331201000 is about 691.8796331347.

Adding to 331201000 its reverse (102133), we get a palindrome (331303133).

The spelling of 331201000 in words is "three hundred thirty-one million, two hundred one thousand".