11131013444100 has 72 divisors (see below), whose sum is σ = 35133526081248. Its totient is φ = 2698427500800.

The previous prime is 11131013444099. The next prime is 11131013444119. The reversal of 11131013444100 is 144431013111.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1686513889 + ... + 1686520488.

Almost surely, 2^{11131013444100} is an apocalyptic number.

11131013444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131013444100 is an abundant number, since it is smaller than the sum of its proper divisors (24002512637148).

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

11131013444100 is a wasteful number, since it uses less digits than its factorization.

11131013444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373034405 (or 3373034398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11131013444100 its reverse (144431013111), we get a palindrome (11275444457211).

The spelling of 11131013444100 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, four hundred forty-four thousand, one hundred".