10305142402353 has 16 divisors (see below), whose sum is σ = 14451033540096. Its totient is φ = 6523035966720.

The previous prime is 10305142402337. The next prime is 10305142402393. The reversal of 10305142402353 is 35320424150301.

It is not a de Polignac number, because 10305142402353 - 2⁴ = 10305142402337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10305142402393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045353400 + ... + 1045363257.

It is an arithmetic number, because the mean of its divisors is an integer number (903189596256).

Almost surely, 2^{10305142402353} is an apocalyptic number.

It is an amenable number.

10305142402353 is a deficient number, since it is larger than the sum of its proper divisors (4145891137743).

10305142402353 is a wasteful number, since it uses less digits than its factorization.

10305142402353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090716744.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 10305142402353 its reverse (35320424150301), we get a palindrome (45625566552654).

The spelling of 10305142402353 in words is "ten trillion, three hundred five billion, one hundred forty-two million, four hundred two thousand, three hundred fifty-three".