11331312512520 has 3072 divisors, whose sum is σ = 50613225062400. Its totient is φ = 1957879848960.

The previous prime is 11331312512503. The next prime is 11331312512567. The reversal of 11331312512520 is 2521521313311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 110012742789 + ... + 110012742891.

It is an arithmetic number, because the mean of its divisors is an integer number (16475659200).

Almost surely, 2^{11331312512520} is an apocalyptic number.

11331312512520 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 11331312512520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306612531200).

11331312512520 is an abundant number, since it is smaller than the sum of its proper divisors (39281912549880).

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

11331312512520 is a wasteful number, since it uses less digits than its factorization.

11331312512520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 11331312512520 its reverse (2521521313311), we get a palindrome (13852833825831).

The spelling of 11331312512520 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, five hundred twelve thousand, five hundred twenty".