10405133513 has 2 divisors, whose sum is σ = 10405133514. Its totient is φ = 10405133512.

The previous prime is 10405133467. The next prime is 10405133579. The reversal of 10405133513 is 31533150401.

10405133513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9080755849 + 1324377664 = 95293^2 + 36392^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405133513 - 2²⁸ = 10136698057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10405133113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202566756 + 5202566757.

It is an arithmetic number, because the mean of its divisors is an integer number (5202566757).

Almost surely, 2^10405133513 is an apocalyptic number.

It is an amenable number.

10405133513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405133513 is an equidigital number, since it uses as much as digits as its factorization.

10405133513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 10405133513 its reverse (31533150401), we get a palindrome (41938283914).

The spelling of 10405133513 in words is "ten billion, four hundred five million, one hundred thirty-three thousand, five hundred thirteen".