11633130827241 has 96 divisors (see below), whose sum is σ = 20924639953920. Its totient is φ = 5668436592000.

The previous prime is 11633130827237. The next prime is 11633130827293. The reversal of 11633130827241 is 14272803133611.

It is not a de Polignac number, because 11633130827241 - 2² = 11633130827237 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11633130827193 and 11633130827202.

It is not an unprimeable number, because it can be changed into a prime (11633130827141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228540 + ... + 4977506.

It is an arithmetic number, because the mean of its divisors is an integer number (217964999520).

Almost surely, 2^{11633130827241} is an apocalyptic number.

11633130827241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11633130827241 is a deficient number, since it is larger than the sum of its proper divisors (9291509126679).

11633130827241 is a wasteful number, since it uses less digits than its factorization.

11633130827241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749115 (or 3749108 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 11633130827241 in words is "eleven trillion, six hundred thirty-three billion, one hundred thirty million, eight hundred twenty-seven thousand, two hundred forty-one".