10405313357 has 2 divisors, whose sum is σ = 10405313358. Its totient is φ = 10405313356.

The previous prime is 10405313353. The next prime is 10405313389. The reversal of 10405313357 is 75331350401.

It is an a-pointer prime, because the next prime (10405313389) can be obtained adding 10405313357 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10166487241 + 238826116 = 100829^2 + 15454^2 .

It is an emirp because it is prime and its reverse (75331350401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10405313357 - 2² = 10405313353 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405313353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202656678 + 5202656679.

It is an arithmetic number, because the mean of its divisors is an integer number (5202656679).

Almost surely, 2^10405313357 is an apocalyptic number.

It is an amenable number.

10405313357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405313357 is an equidigital number, since it uses as much as digits as its factorization.

10405313357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 10405313357 its reverse (75331350401), we get a palindrome (85736663758).

The spelling of 10405313357 in words is "ten billion, four hundred five million, three hundred thirteen thousand, three hundred fifty-seven".