10405313353 has 2 divisors, whose sum is σ = 10405313354. Its totient is φ = 10405313352.

The previous prime is 10405313341. The next prime is 10405313357. The reversal of 10405313353 is 35331350401.

10405313353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9218304144 + 1187009209 = 96012^2 + 34453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10405313353 is a prime.

It is a super-3 number, since 3×10405313353³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10405313357) 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, 5202656676 + 5202656677.

It is an arithmetic number, because the mean of its divisors is an integer number (5202656677).

Almost surely, 2^10405313353 is an apocalyptic number.

It is an amenable number.

10405313353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405313353 is an equidigital number, since it uses as much as digits as its factorization.

10405313353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 10405313353 its reverse (35331350401), we get a palindrome (45736663754).

The spelling of 10405313353 in words is "ten billion, four hundred five million, three hundred thirteen thousand, three hundred fifty-three".