331223201000 has 128 divisors (see below), whose sum is σ = 785036772000. Its totient is φ = 130789120000.

The previous prime is 331223200991. The next prime is 331223201009. The reversal of 331223201000 is 102322133.

It is an interprime number because it is at equal distance from previous prime (331223200991) and next prime (331223201009).

It can be written as a sum of positive squares in 16 ways, for example, as 87442038436 + 243781162564 = 295706^2 + 493742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331223201000.

It is not an unprimeable number, because it can be changed into a prime (331223201009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62386346 + ... + 62391654.

Almost surely, 2^331223201000 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 331223201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392518386000).

331223201000 is an abundant number, since it is smaller than the sum of its proper divisors (453813571000).

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

331223201000 is a wasteful number, since it uses less digits than its factorization.

331223201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 331223201000 its reverse (102322133), we get a palindrome (331325523133).

The spelling of 331223201000 in words is "three hundred thirty-one billion, two hundred twenty-three million, two hundred one thousand".