10011322013 has 16 divisors (see below), whose sum is σ = 12686271360. Its totient is φ = 7673140800.

The previous prime is 10011321973. The next prime is 10011322043. The reversal of 10011322013 is 31022311001.

10011322013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011322013 - 2¹⁶ = 10011256477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011322043) 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, 1061018 + ... + 1070411.

It is an arithmetic number, because the mean of its divisors is an integer number (792891960).

Almost surely, 2^10011322013 is an apocalyptic number.

It is an amenable number.

10011322013 is a deficient number, since it is larger than the sum of its proper divisors (2674949347).

10011322013 is a wasteful number, since it uses less digits than its factorization.

10011322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131508.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10011322013 its reverse (31022311001), we get a palindrome (41033633014).

The spelling of 10011322013 in words is "ten billion, eleven million, three hundred twenty-two thousand, thirteen".