10345034135301 has 16 divisors (see below), whose sum is σ = 13997096949888. Its totient is φ = 6794961555200.

The previous prime is 10345034135263. The next prime is 10345034135309. The reversal of 10345034135301 is 10353143054301.

It is a cyclic number.

It is not a de Polignac number, because 10345034135301 - 2⁶ = 10345034135237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345034135309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16081656 + ... + 16712561.

It is an arithmetic number, because the mean of its divisors is an integer number (874818559368).

Almost surely, 2^{10345034135301} is an apocalyptic number.

It is an amenable number.

10345034135301 is a deficient number, since it is larger than the sum of its proper divisors (3652062814587).

10345034135301 is a wasteful number, since it uses less digits than its factorization.

10345034135301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32795772.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 10345034135301 its reverse (10353143054301), we get a palindrome (20698177189602).

The spelling of 10345034135301 in words is "ten trillion, three hundred forty-five billion, thirty-four million, one hundred thirty-five thousand, three hundred one".