11313003132120 has 256 divisors, whose sum is σ = 36963086400000. Its totient is φ = 2759028314112.

The previous prime is 11313003132077. The next prime is 11313003132163. The reversal of 11313003132120 is 2123130031311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11313003132077) and next prime (11313003132163).

It is a congruent number.

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, 640627851 + ... + 640645509.

It is an arithmetic number, because the mean of its divisors is an integer number (144387056250).

Almost surely, 2^{11313003132120} is an apocalyptic number.

11313003132120 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 11313003132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481543200000).

11313003132120 is an abundant number, since it is smaller than the sum of its proper divisors (25650083267880).

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

11313003132120 is a wasteful number, since it uses less digits than its factorization.

11313003132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27410 (or 27406 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11313003132120 its reverse (2123130031311), we get a palindrome (13436133163431).

The spelling of 11313003132120 in words is "eleven trillion, three hundred thirteen billion, three million, one hundred thirty-two thousand, one hundred twenty".