11331313001120 has 288 divisors, whose sum is σ = 30948176020608. Its totient is φ = 3840470360064.

The previous prime is 11331313001101. The next prime is 11331313001123. The reversal of 11331313001120 is 2110031313311.

It is a super-2 number, since 2×11331313001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331313001092 and 11331313001101.

It is not an unprimeable number, because it can be changed into a prime (11331313001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9546177167 + ... + 9546178353.

It is an arithmetic number, because the mean of its divisors is an integer number (107458944516).

Almost surely, 2^{11331313001120} is an apocalyptic number.

11331313001120 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 11331313001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474088010304).

11331313001120 is an abundant number, since it is smaller than the sum of its proper divisors (19616863019488).

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

11331313001120 is a wasteful number, since it uses less digits than its factorization.

11331313001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11331313001120 its reverse (2110031313311), we get a palindrome (13441344314431).

The spelling of 11331313001120 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one thousand, one hundred twenty".