13001414031 has 16 divisors (see below), whose sum is σ = 20275110400. Its totient is φ = 8211419064.

The previous prime is 13001414021. The next prime is 13001414051. The reversal of 13001414031 is 13041410031.

It is not a de Polignac number, because 13001414031 - 2¹⁹ = 13000889743 is a prime.

It is a super-2 number, since 2×13001414031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001413995 and 13001414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12671431 + ... + 12672456.

It is an arithmetic number, because the mean of its divisors is an integer number (1267194400).

Almost surely, 2^13001414031 is an apocalyptic number.

13001414031 is a deficient number, since it is larger than the sum of its proper divisors (7273696369).

13001414031 is a wasteful number, since it uses less digits than its factorization.

13001414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25343915 (or 25343909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13001414031 its reverse (13041410031), we get a palindrome (26042824062).

The spelling of 13001414031 in words is "thirteen billion, one million, four hundred fourteen thousand, thirty-one".