11310031320 has 512 divisors, whose sum is σ = 43893964800. Its totient is φ = 2270822400.

The previous prime is 11310031309. The next prime is 11310031321. The reversal of 11310031320 is 2313001311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11310031320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310031321) 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 127 ways as a sum of consecutive naturals, for example, 12837280 + ... + 12838160.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 2^11310031320 is an apocalyptic number.

11310031320 is a gapful number since it is divisible by the number (10) 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 11310031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946982400).

11310031320 is an abundant number, since it is smaller than the sum of its proper divisors (32583933480).

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

11310031320 is a wasteful number, since it uses less digits than its factorization.

11310031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11310031320 its reverse (2313001311), we get a palindrome (13623032631).

The spelling of 11310031320 in words is "eleven billion, three hundred ten million, thirty-one thousand, three hundred twenty".