31130230320 has 240 divisors, whose sum is σ = 119577257280. Its totient is φ = 7109738496.

The previous prime is 31130230319. The next prime is 31130230333. The reversal of 31130230320 is 2303203113.

31130230320 is a `hidden beast` number, since 3 + 11 + 302 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31130230293 and 31130230302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11575536 + ... + 11578224.

It is an arithmetic number, because the mean of its divisors is an integer number (498238572).

Almost surely, 2^31130230320 is an apocalyptic number.

31130230320 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 31130230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59788628640).

31130230320 is an abundant number, since it is smaller than the sum of its proper divisors (88447026960).

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

31130230320 is a wasteful number, since it uses less digits than its factorization.

31130230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5003 counting only the distinct ones).

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

Adding to 31130230320 its reverse (2303203113), we get a palindrome (33433433433).

The spelling of 31130230320 in words is "thirty-one billion, one hundred thirty million, two hundred thirty thousand, three hundred twenty".