11101124133441 has 16 divisors (see below), whose sum is σ = 16446934537920. Its totient is φ = 7400378302560.

The previous prime is 11101124133431. The next prime is 11101124133481. The reversal of 11101124133441 is 14433142110111.

It is not a de Polignac number, because 11101124133441 - 2⁵ = 11101124133409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11101124133431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9759955 + ... + 10837848.

It is an arithmetic number, because the mean of its divisors is an integer number (1027933408620).

Almost surely, 2^{11101124133441} is an apocalyptic number.

It is an amenable number.

11101124133441 is a deficient number, since it is larger than the sum of its proper divisors (5345810404479).

11101124133441 is a wasteful number, since it uses less digits than its factorization.

11101124133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617773 (or 20617767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11101124133441 its reverse (14433142110111), we get a palindrome (25534266243552).

The spelling of 11101124133441 in words is "eleven trillion, one hundred one billion, one hundred twenty-four million, one hundred thirty-three thousand, four hundred forty-one".