13021022013003 has 12 divisors (see below), whose sum is σ = 18808177313640. Its totient is φ = 8680665462336.

The previous prime is 13021022012983. The next prime is 13021022013023. The reversal of 13021022013003 is 30031022012031.

13021022013003 is a `hidden beast` number, since 1 + 302 + 10 + 220 + 130 + 0 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13021022012983) and next prime (13021022013023).

It is not a de Polignac number, because 13021022013003 - 2⁴⁰ = 11921510385227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13021022013023) 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 11 ways as a sum of consecutive naturals, for example, 6007075 + ... + 7882067.

It is an arithmetic number, because the mean of its divisors is an integer number (1567348109470).

Almost surely, 2^{13021022013003} is an apocalyptic number.

13021022013003 is a deficient number, since it is larger than the sum of its proper divisors (5787155300637).

13021022013003 is a wasteful number, since it uses less digits than its factorization.

13021022013003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646618 (or 2646615 counting only the distinct ones).

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

Adding to 13021022013003 its reverse (30031022012031), we get a palindrome (43052044025034).

The spelling of 13021022013003 in words is "thirteen trillion, twenty-one billion, twenty-two million, thirteen thousand, three".