11013332103312 has 640 divisors, whose sum is σ = 37151850700800. Its totient is φ = 2727696384000.

The previous prime is 11013332103289. The next prime is 11013332103373. The reversal of 11013332103312 is 21330123331011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5272058364 + ... + 5272060452.

It is an arithmetic number, because the mean of its divisors is an integer number (58049766720).

Almost surely, 2^{11013332103312} is an apocalyptic number.

11013332103312 is a gapful number since it is divisible by the number (12) 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 11013332103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575925350400).

11013332103312 is an abundant number, since it is smaller than the sum of its proper divisors (26138518597488).

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

11013332103312 is a wasteful number, since it uses less digits than its factorization.

11013332103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11013332103312 its reverse (21330123331011), we get a palindrome (32343455434323).

The spelling of 11013332103312 in words is "eleven trillion, thirteen billion, three hundred thirty-two million, one hundred three thousand, three hundred twelve".