1123313313100 has 216 divisors, whose sum is σ = 2715582285360. Its totient is φ = 402972979200.

The previous prime is 1123313313077. The next prime is 1123313313107. The reversal of 1123313313100 is 13133133211.

It is a super-2 number, since 2×1123313313100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1123313313107) 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 71 ways as a sum of consecutive naturals, for example, 632139412 + ... + 632141188.

It is an arithmetic number, because the mean of its divisors is an integer number (12572140210).

Almost surely, 2^{1123313313100} is an apocalyptic number.

1123313313100 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 1123313313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357791142680).

1123313313100 is an abundant number, since it is smaller than the sum of its proper divisors (1592268972260).

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

1123313313100 is a wasteful number, since it uses less digits than its factorization.

1123313313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1123313313100 its reverse (13133133211), we get a palindrome (1136446446311).

The spelling of 1123313313100 in words is "one trillion, one hundred twenty-three billion, three hundred thirteen million, three hundred thirteen thousand, one hundred".