320131000 has 256 divisors, whose sum is σ = 943488000. Its totient is φ = 99187200.

The previous prime is 320130949. The next prime is 320131003. The reversal of 320131000 is 131023.

It is a super-2 number, since 2×320131000² = 204967714322000000, 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 (320131003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3856959 + ... + 3857041.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^320131000 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 320131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

320131000 is an abundant number, since it is smaller than the sum of its proper divisors (623357000).

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

320131000 is a wasteful number, since it uses less digits than its factorization.

320131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

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

The square root of 320131000 is about 17892.2050066502. The cubic root of 320131000 is about 684.0837021242.

Adding to 320131000 its reverse (131023), we get a palindrome (320262023).

The spelling of 320131000 in words is "three hundred twenty million, one hundred thirty-one thousand".