10123040003013 has 32 divisors (see below), whose sum is σ = 17201414309120. Its totient is φ = 5763711245760.

The previous prime is 10123040003003. The next prime is 10123040003039. The reversal of 10123040003013 is 31030004032101.

10123040003013 is a `hidden beast` number, since 1 + 0 + 1 + 230 + 400 + 0 + 30 + 1 + 3 = 666.

It is not a de Polignac number, because 10123040003013 - 2¹⁴ = 10123039986629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123040003003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96628258 + ... + 96732963.

It is an arithmetic number, because the mean of its divisors is an integer number (537544197160).

Almost surely, 2^{10123040003013} is an apocalyptic number.

It is an amenable number.

10123040003013 is a deficient number, since it is larger than the sum of its proper divisors (7078374306107).

10123040003013 is a wasteful number, since it uses less digits than its factorization.

10123040003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193361514 (or 193361508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123040003013 its reverse (31030004032101), we get a palindrome (41153044035114).

The spelling of 10123040003013 in words is "ten trillion, one hundred twenty-three billion, forty million, three thousand, thirteen".