10345134626123 has 16 divisors (see below), whose sum is σ = 11301153613056. Its totient is φ = 9391709103840.

The previous prime is 10345134626117. The next prime is 10345134626137. The reversal of 10345134626123 is 32162643154301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10345134626123 - 2²⁸ = 10344866190667 is a prime.

It is a super-2 number, since 2×10345134626123² (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 (10345134626923) 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, 267968540 + ... + 268007142.

It is an arithmetic number, because the mean of its divisors is an integer number (706322100816).

Almost surely, 2^{10345134626123} is an apocalyptic number.

10345134626123 is a deficient number, since it is larger than the sum of its proper divisors (956018986933).

10345134626123 is a wasteful number, since it uses less digits than its factorization.

10345134626123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71554.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 10345134626123 in words is "ten trillion, three hundred forty-five billion, one hundred thirty-four million, six hundred twenty-six thousand, one hundred twenty-three".