13001131011 has 16 divisors (see below), whose sum is σ = 18913345920. Its totient is φ = 7878385920.

The previous prime is 13001130997. The next prime is 13001131057. The reversal of 13001131011 is 11013110031.

It is not a de Polignac number, because 13001131011 - 2¹⁰ = 13001129987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001131511) 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, 261216 + ... + 306978.

It is an arithmetic number, because the mean of its divisors is an integer number (1182084120).

Almost surely, 2^13001131011 is an apocalyptic number.

13001131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13001131011 is a deficient number, since it is larger than the sum of its proper divisors (5912214909).

13001131011 is a wasteful number, since it uses less digits than its factorization.

13001131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54386.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13001131011 its reverse (11013110031), we get a palindrome (24014241042).

It can be divided in two parts, 1300 and 1131011, that added together give a palindrome (1132311).

The spelling of 13001131011 in words is "thirteen billion, one million, one hundred thirty-one thousand, eleven".