11131103100 has 288 divisors, whose sum is σ = 35802708480. Its totient is φ = 2653056000.

The previous prime is 11131103083. The next prime is 11131103117. The reversal of 11131103100 is 130113111.

It is an interprime number because it is at equal distance from previous prime (11131103083) and next prime (11131103117).

It is a super-2 number, since 2×11131103100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16890571 + ... + 16891229.

It is an arithmetic number, because the mean of its divisors is an integer number (124314960).

Almost surely, 2^11131103100 is an apocalyptic number.

11131103100 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 11131103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901354240).

11131103100 is an abundant number, since it is smaller than the sum of its proper divisors (24671605380).

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

11131103100 is a wasteful number, since it uses less digits than its factorization.

11131103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11131103100 its reverse (130113111), we get a palindrome (11261216211).

The spelling of 11131103100 in words is "eleven billion, one hundred thirty-one million, one hundred three thousand, one hundred".