1131313330100 has 72 divisors (see below), whose sum is σ = 2489305257600. Its totient is φ = 446207673600.

The previous prime is 1131313330097. The next prime is 1131313330117. The reversal of 1131313330100 is 10333131311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5917811 + ... + 6105989.

Almost surely, 2^{1131313330100} is an apocalyptic number.

1131313330100 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 1131313330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244652628800).

1131313330100 is an abundant number, since it is smaller than the sum of its proper divisors (1357991927500).

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

1131313330100 is a wasteful number, since it uses less digits than its factorization.

1131313330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189033 (or 189026 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1131313330100 its reverse (10333131311), we get a palindrome (1141646461411).

The spelling of 1131313330100 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred thirty thousand, one hundred".