31330000 has 100 divisors (see below), whose sum is σ = 82026868. Its totient is φ = 11520000.

The previous prime is 31329989. The next prime is 31330007. The reversal of 31330000 is 3313.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 25684624 + 5645376 = 5068^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 (31330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129880 + ... + 130120.

Almost surely, 2^31330000 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 31330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41013434).

31330000 is an abundant number, since it is smaller than the sum of its proper divisors (50696868).

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

31330000 is a wasteful number, since it uses less digits than its factorization.

31330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 31330000 is about 5597.3207876626. The cubic root of 31330000 is about 315.2488165950.

Adding to 31330000 its reverse (3313), we get a palindrome (31333313).

The spelling of 31330000 in words is "thirty-one million, three hundred thirty thousand".