11313903713280 has 1408 divisors, whose sum is σ = 45279307763712. Its totient is φ = 2352010493952.

The previous prime is 11313903713269. The next prime is 11313903713293. The reversal of 11313903713280 is 8231730931311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 11700003357 + ... + 11700004323.

It is an arithmetic number, because the mean of its divisors is an integer number (32158599264).

Almost surely, 2^{11313903713280} is an apocalyptic number.

11313903713280 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 11313903713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639653881856).

11313903713280 is an abundant number, since it is smaller than the sum of its proper divisors (33965404050432).

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

11313903713280 is a wasteful number, since it uses less digits than its factorization.

11313903713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 11313903713280 in words is "eleven trillion, three hundred thirteen billion, nine hundred three million, seven hundred thirteen thousand, two hundred eighty".