13123133441 has 16 divisors (see below), whose sum is σ = 14415656640. Its totient is φ = 11847487680.

The previous prime is 13123133431. The next prime is 13123133453. The reversal of 13123133441 is 14433132131.

It is a cyclic number.

It is not a de Polignac number, because 13123133441 - 2¹⁰ = 13123132417 is a prime.

It is a super-3 number, since 3×13123133441³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13123133441.

It is not an unprimeable number, because it can be changed into a prime (13123133431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928415 + ... + 942443.

It is an arithmetic number, because the mean of its divisors is an integer number (900978540).

Almost surely, 2^13123133441 is an apocalyptic number.

13123133441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13123133441 is a deficient number, since it is larger than the sum of its proper divisors (1292523199).

13123133441 is a wasteful number, since it uses less digits than its factorization.

13123133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624.

The product of its digits is 2592, while the sum is 26.

Adding to 13123133441 its reverse (14433132131), we get a palindrome (27556265572).

The spelling of 13123133441 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, four hundred forty-one".