31330013120 has 224 divisors, whose sum is σ = 88546106880. Its totient is φ = 10330951680.

The previous prime is 31330013093. The next prime is 31330013129. The reversal of 31330013120 is 2131003313.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330013129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19941935 + ... + 19943505.

It is an arithmetic number, because the mean of its divisors is an integer number (395295120).

Almost surely, 2^31330013120 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 31330013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273053440).

31330013120 is an abundant number, since it is smaller than the sum of its proper divisors (57216093760).

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

31330013120 is a wasteful number, since it uses less digits than its factorization.

31330013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31330013120 its reverse (2131003313), we get a palindrome (33461016433).

The spelling of 31330013120 in words is "thirty-one billion, three hundred thirty million, thirteen thousand, one hundred twenty".