11131122300 has 72 divisors (see below), whose sum is σ = 34100536176. Its totient is φ = 2793692160.

The previous prime is 11131122293. The next prime is 11131122307. The reversal of 11131122300 is 322113111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11131122293) and next prime (11131122307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131122307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086187 + ... + 1096386.

It is an arithmetic number, because the mean of its divisors is an integer number (473618558).

Almost surely, 2^11131122300 is an apocalyptic number.

11131122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131122300 is an abundant number, since it is smaller than the sum of its proper divisors (22969413876).

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

11131122300 is a wasteful number, since it uses less digits than its factorization.

11131122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182607 (or 2182600 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131122300 its reverse (322113111), we get a palindrome (11453235411).

The spelling of 11131122300 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred".