10001013011 has 16 divisors (see below), whose sum is σ = 11569804128. Its totient is φ = 8543808000.

The previous prime is 10001012953. The next prime is 10001013047. The reversal of 10001013011 is 11031010001.

It is a cyclic number.

It is not a de Polignac number, because 10001013011 - 2⁶ = 10001012947 is a prime.

It is a super-2 number, since 2×10001013011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001013011.

It is not an unprimeable number, because it can be changed into a prime (10001013091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81161 + ... + 163061.

It is an arithmetic number, because the mean of its divisors is an integer number (723112758).

Almost surely, 2^10001013011 is an apocalyptic number.

10001013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001013011 is a deficient number, since it is larger than the sum of its proper divisors (1568791117).

10001013011 is a wasteful number, since it uses less digits than its factorization.

10001013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82582.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001013011 its reverse (11031010001), we get a palindrome (21032023012).

The spelling of 10001013011 in words is "ten billion, one million, thirteen thousand, eleven".