10404341133121 has 16 divisors (see below), whose sum is σ = 11491940770128. Its totient is φ = 9358350105600.

The previous prime is 10404341133119. The next prime is 10404341133127. The reversal of 10404341133121 is 12133114340401.

It can be written as a sum of positive squares in 8 ways, for example, as 1261216595521 + 9143124537600 = 1123039^2 + 3023760^2 .

It is not a de Polignac number, because 10404341133121 - 2¹ = 10404341133119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10404341133121.

It is not an unprimeable number, because it can be changed into a prime (10404341133127) 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 15 ways as a sum of consecutive naturals, for example, 11450556 + ... + 12325741.

It is an arithmetic number, because the mean of its divisors is an integer number (718246298133).

Almost surely, 2^{10404341133121} is an apocalyptic number.

It is an amenable number.

10404341133121 is a deficient number, since it is larger than the sum of its proper divisors (1087599637007).

10404341133121 is a wasteful number, since it uses less digits than its factorization.

10404341133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23777172.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10404341133121 its reverse (12133114340401), we get a palindrome (22537455473522).

The spelling of 10404341133121 in words is "ten trillion, four hundred four billion, three hundred forty-one million, one hundred thirty-three thousand, one hundred twenty-one".