10405340200513 has 8 divisors (see below), whose sum is σ = 10410845701032. Its totient is φ = 10399834999296.

The previous prime is 10405340200511. The next prime is 10405340200537. The reversal of 10405340200513 is 31500204350401.

It can be written as a sum of positive squares in 4 ways, for example, as 1312564331584 + 9092775868929 = 1145672^2 + 3015423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10405340200513 - 2¹ = 10405340200511 is a prime.

It is a super-2 number, since 2×10405340200513² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10405340200511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116454331 + ... + 116543647.

It is an arithmetic number, because the mean of its divisors is an integer number (1301355712629).

Almost surely, 2^{10405340200513} is an apocalyptic number.

It is an amenable number.

10405340200513 is a deficient number, since it is larger than the sum of its proper divisors (5505500519).

10405340200513 is an equidigital number, since it uses as much as digits as its factorization.

10405340200513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149651.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10405340200513 its reverse (31500204350401), we get a palindrome (41905544550914).

The spelling of 10405340200513 in words is "ten trillion, four hundred five billion, three hundred forty million, two hundred thousand, five hundred thirteen".