1133131110144 has 144 divisors (see below), whose sum is σ = 3290524406400. Its totient is φ = 343312404480.

The previous prime is 1133131110119. The next prime is 1133131110149. The reversal of 1133131110144 is 4410111313311.

It is a super-2 number, since 2×1133131110144² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133131110149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78973179 + ... + 78987525.

Almost surely, 2^{1133131110144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133131110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645262203200).

1133131110144 is an abundant number, since it is smaller than the sum of its proper divisors (2157393296256).

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

1133131110144 is a wasteful number, since it uses less digits than its factorization.

1133131110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23726 (or 23712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 1133131110144 its reverse (4410111313311), we get a palindrome (5543242423455).

The spelling of 1133131110144 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred ten thousand, one hundred forty-four".