10002012013 has 16 divisors (see below), whose sum is σ = 11888442880. Its totient is φ = 8235841536.

The previous prime is 10002012011. The next prime is 10002012023. The reversal of 10002012013 is 31021020001.

10002012013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10002012013 - 2¹ = 10002012011 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 (10002012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223956 + ... + 264877.

It is an arithmetic number, because the mean of its divisors is an integer number (743027680).

Almost surely, 2^10002012013 is an apocalyptic number.

It is an amenable number.

10002012013 is a deficient number, since it is larger than the sum of its proper divisors (1886430867).

10002012013 is an equidigital number, since it uses as much as digits as its factorization.

10002012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488956.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002012013 its reverse (31021020001), we get a palindrome (41023032014).

The spelling of 10002012013 in words is "ten billion, two million, twelve thousand, thirteen".