11103113100000 has 576 divisors, whose sum is σ = 39301428422592. Its totient is φ = 2734018560000.

The previous prime is 11103113099963. The next prime is 11103113100019. The reversal of 11103113100000 is 131130111.

It is a super-2 number, since 2×11103113100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 270279462 + ... + 270320538.

It is an arithmetic number, because the mean of its divisors is an integer number (68231646567).

Almost surely, 2^{11103113100000} is an apocalyptic number.

11103113100000 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 11103113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19650714211296).

11103113100000 is an abundant number, since it is smaller than the sum of its proper divisors (28198315322592).

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

11103113100000 is an equidigital number, since it uses as much as digits as its factorization.

11103113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41185 (or 41157 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11103113100000 its reverse (131130111), we get a palindrome (11103244230111).

The spelling of 11103113100000 in words is "eleven trillion, one hundred three billion, one hundred thirteen million, one hundred thousand".