1123311311100 has 216 divisors, whose sum is σ = 3847152516480. Its totient is φ = 271884816000.

The previous prime is 1123311311063. The next prime is 1123311311117. The reversal of 1123311311100 is 11131133211.

1123311311100 is a `hidden beast` number, since 1 + 12 + 331 + 1 + 311 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6156991 + ... + 6336809.

It is an arithmetic number, because the mean of its divisors is an integer number (17810891280).

Almost surely, 2^{1123311311100} is an apocalyptic number.

1123311311100 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 1123311311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923576258240).

1123311311100 is an abundant number, since it is smaller than the sum of its proper divisors (2723841205380).

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

1123311311100 is a wasteful number, since it uses less digits than its factorization.

1123311311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180481 (or 180471 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1123311311100 its reverse (11131133211), we get a palindrome (1134442444311).

The spelling of 1123311311100 in words is "one trillion, one hundred twenty-three billion, three hundred eleven million, three hundred eleven thousand, one hundred".