13001431311 has 64 divisors (see below), whose sum is σ = 21211545600. Its totient is φ = 7805397600.

The previous prime is 13001431307. The next prime is 13001431319. The reversal of 13001431311 is 11313410031.

It is not a de Polignac number, because 13001431311 - 2² = 13001431307 is a prime.

It is a super-2 number, since 2×13001431311² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001431319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23768340 + ... + 23768886.

It is an arithmetic number, because the mean of its divisors is an integer number (331430400).

Almost surely, 2^13001431311 is an apocalyptic number.

13001431311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13001431311 is a deficient number, since it is larger than the sum of its proper divisors (8210114289).

13001431311 is a wasteful number, since it uses less digits than its factorization.

13001431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13001431311 its reverse (11313410031), we get a palindrome (24314841342).

The spelling of 13001431311 in words is "thirteen billion, one million, four hundred thirty-one thousand, three hundred eleven".