35342413130313 has 24 divisors (see below), whose sum is σ = 51160404040200. Its totient is φ = 23510769384960.

The previous prime is 35342413130263. The next prime is 35342413130341. The reversal of 35342413130313 is 31303131424353.

35342413130313 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 24 + 1 + 313 + 0 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10094682447369 + 25247730682944 = 3177213^2 + 5024712^2 .

It is not a de Polignac number, because 35342413130313 - 2⁴¹ = 33143389874761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35342413131313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7297345 + ... + 11132657.

It is an arithmetic number, because the mean of its divisors is an integer number (2131683501675).

Almost surely, 2^{35342413130313} is an apocalyptic number.

It is an amenable number.

35342413130313 is a deficient number, since it is larger than the sum of its proper divisors (15817990909887).

35342413130313 is a wasteful number, since it uses less digits than its factorization.

35342413130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837529 (or 3837526 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 35342413130313 its reverse (31303131424353), we get a palindrome (66645544554666).

The spelling of 35342413130313 in words is "thirty-five trillion, three hundred forty-two billion, four hundred thirteen million, one hundred thirty thousand, three hundred thirteen".