31032130320 has 320 divisors, whose sum is σ = 108887078400. Its totient is φ = 8223399936.

The previous prime is 31032130313. The next prime is 31032130351. The reversal of 31032130320 is 2303123013.

31032130320 is a `hidden beast` number, since 310 + 3 + 2 + 1 + 30 + 320 = 666.

It is a super-2 number, since 2×31032130320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31032130293 and 31032130302.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33766821 + ... + 33767739.

It is an arithmetic number, because the mean of its divisors is an integer number (340272120).

Almost surely, 2^31032130320 is an apocalyptic number.

31032130320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31032130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54443539200).

31032130320 is an abundant number, since it is smaller than the sum of its proper divisors (77854948080).

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

31032130320 is an equidigital number, since it uses as much as digits as its factorization.

31032130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31032130320 its reverse (2303123013), we get a palindrome (33335253333).

The spelling of 31032130320 in words is "thirty-one billion, thirty-two million, one hundred thirty thousand, three hundred twenty".