10013001311 has 8 divisors (see below), whose sum is σ = 10541047920. Its totient is φ = 9485059392.

The previous prime is 10013001293. The next prime is 10013001331. The reversal of 10013001311 is 11310031001.

It is a happy number.

10013001311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013001311 - 2²⁶ = 9945892447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013001292 and 10013001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013001331) 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 7 ways as a sum of consecutive naturals, for example, 239291 + ... + 278003.

It is an arithmetic number, because the mean of its divisors is an integer number (1317630990).

Almost surely, 2^10013001311 is an apocalyptic number.

10013001311 is a deficient number, since it is larger than the sum of its proper divisors (528046609).

10013001311 is a wasteful number, since it uses less digits than its factorization.

10013001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52345.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10013001311 its reverse (11310031001), we get a palindrome (21323032312).

The spelling of 10013001311 in words is "ten billion, thirteen million, one thousand, three hundred eleven".