10413442531121 has 36 divisors (see below), whose sum is σ = 12684746372508. Its totient is φ = 8520707115648.

The previous prime is 10413442531111. The next prime is 10413442531127. The reversal of 10413442531121 is 12113524431401.

It can be written as a sum of positive squares in 6 ways, for example, as 1914404304400 + 8499038226721 = 1383620^2 + 2915311^2 .

It is not a de Polignac number, because 10413442531121 - 2¹⁰ = 10413442530097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10413442531127) 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 35 ways as a sum of consecutive naturals, for example, 2090795 + ... + 5019791.

It is an arithmetic number, because the mean of its divisors is an integer number (352354065903).

Almost surely, 2^{10413442531121} is an apocalyptic number.

It is an amenable number.

10413442531121 is a deficient number, since it is larger than the sum of its proper divisors (2271303841387).

10413442531121 is an equidigital number, since it uses as much as digits as its factorization.

10413442531121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929138 (or 2929094 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 10413442531121 its reverse (12113524431401), we get a palindrome (22526966962522).

The spelling of 10413442531121 in words is "ten trillion, four hundred thirteen billion, four hundred forty-two million, five hundred thirty-one thousand, one hundred twenty-one".