13014122141031 has 16 divisors (see below), whose sum is σ = 19097151079680. Its totient is φ = 7817547221120.

The previous prime is 13014122141011. The next prime is 13014122141063.

13014122141031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13014122141031 - 2⁹ = 13014122140519 is a prime.

It is a super-2 number, since 2×13014122141031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13014122140992 and 13014122141010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014122141011) 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, 1744984491 + ... + 1744991948.

It is an arithmetic number, because the mean of its divisors is an integer number (1193571942480).

Almost surely, 2^{13014122141031} is an apocalyptic number.

13014122141031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13014122141031 is a deficient number, since it is larger than the sum of its proper divisors (6083028938649).

13014122141031 is a wasteful number, since it uses less digits than its factorization.

13014122141031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489976566.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1301412 and 2141031, that added together give a palindrome (3442443).

The spelling of 13014122141031 in words is "thirteen trillion, fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, thirty-one".