10404133111321 has 2 divisors, whose sum is σ = 10404133111322. Its totient is φ = 10404133111320.

The previous prime is 10404133111319. The next prime is 10404133111357. The reversal of 10404133111321 is 12311133140401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10003778265625 + 400354845696 = 3162875^2 + 632736^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404133111321 - 2¹ = 10404133111319 is a prime.

Together with 10404133111319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10404133111621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202066555660 + 5202066555661.

It is an arithmetic number, because the mean of its divisors is an integer number (5202066555661).

Almost surely, 2^{10404133111321} is an apocalyptic number.

It is an amenable number.

10404133111321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404133111321 is an equidigital number, since it uses as much as digits as its factorization.

10404133111321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10404133111321 its reverse (12311133140401), we get a palindrome (22715266251722).

The spelling of 10404133111321 in words is "ten trillion, four hundred four billion, one hundred thirty-three million, one hundred eleven thousand, three hundred twenty-one".