10345145510331 has 72 divisors (see below), whose sum is σ = 16294266233856. Its totient is φ = 6317309607840.

The previous prime is 10345145510311. The next prime is 10345145510333. The reversal of 10345145510331 is 13301554154301.

10345145510331 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 514 + 5 + 5 + 103 + 31 = 666.

It is not a de Polignac number, because 10345145510331 - 2²⁹ = 10344608639419 is a prime.

It is a super-2 number, since 2×10345145510331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10345145510333) 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 71 ways as a sum of consecutive naturals, for example, 113061706 + ... + 113153168.

It is an arithmetic number, because the mean of its divisors is an integer number (226309253248).

Almost surely, 2^{10345145510331} is an apocalyptic number.

10345145510331 is a deficient number, since it is larger than the sum of its proper divisors (5949120723525).

10345145510331 is a wasteful number, since it uses less digits than its factorization.

10345145510331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92661 (or 92639 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 10345145510331 its reverse (13301554154301), we get a palindrome (23646699664632).

The spelling of 10345145510331 in words is "ten trillion, three hundred forty-five billion, one hundred forty-five million, five hundred ten thousand, three hundred thirty-one".