1133111041104 has 160 divisors (see below), whose sum is σ = 3523870965760. Its totient is φ = 306495705600.

The previous prime is 1133111041093. The next prime is 1133111041133. The reversal of 1133111041104 is 4011401113311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 9330534 + ... + 9451194.

It is an arithmetic number, because the mean of its divisors is an integer number (22024193536).

Almost surely, 2^{1133111041104} is an apocalyptic number.

1133111041104 is a gapful number since it is divisible by the number (14) 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 1133111041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761935482880).

1133111041104 is an abundant number, since it is smaller than the sum of its proper divisors (2390759924656).

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

1133111041104 is a wasteful number, since it uses less digits than its factorization.

1133111041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122169 (or 122163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1133111041104 its reverse (4011401113311), we get a palindrome (5144512154415).

The spelling of 1133111041104 in words is "one trillion, one hundred thirty-three billion, one hundred eleven million, forty-one thousand, one hundred four".