10013120311 has 16 divisors (see below), whose sum is σ = 11015036928. Its totient is φ = 9071568000.

The previous prime is 10013120281. The next prime is 10013120317. The reversal of 10013120311 is 11302131001.

10013120311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013120311 - 2⁵ = 10013120279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013120291 and 10013120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013120317) 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, 115890 + ... + 182911.

It is an arithmetic number, because the mean of its divisors is an integer number (688439808).

Almost surely, 2^10013120311 is an apocalyptic number.

10013120311 is a deficient number, since it is larger than the sum of its proper divisors (1001916617).

10013120311 is a wasteful number, since it uses less digits than its factorization.

10013120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298902.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10013120311 its reverse (11302131001), we get a palindrome (21315251312).

The spelling of 10013120311 in words is "ten billion, thirteen million, one hundred twenty thousand, three hundred eleven".