11300123541441 has 32 divisors (see below), whose sum is σ = 17296391743488. Its totient is φ = 6428313198720.

The previous prime is 11300123541403. The next prime is 11300123541467. The reversal of 11300123541441 is 14414532100311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-11300123541441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11300123541399 and 11300123541408.

It is not an unprimeable number, because it can be changed into a prime (11300123541241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7488810 + ... + 8870316.

It is an arithmetic number, because the mean of its divisors is an integer number (540512241984).

Almost surely, 2^{11300123541441} is an apocalyptic number.

It is an amenable number.

11300123541441 is a deficient number, since it is larger than the sum of its proper divisors (5996268202047).

11300123541441 is a wasteful number, since it uses less digits than its factorization.

11300123541441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383261.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11300123541441 its reverse (14414532100311), we get a palindrome (25714655641752).

The spelling of 11300123541441 in words is "eleven trillion, three hundred billion, one hundred twenty-three million, five hundred forty-one thousand, four hundred forty-one".