13041144114031 has 16 divisors (see below), whose sum is σ = 14595066891648. Its totient is φ = 11552248159200.

The previous prime is 13041144114029. The next prime is 13041144114041.

13041144114031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13041144114031 - 2¹ = 13041144114029 is a prime.

It is a super-2 number, since 2×13041144114031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041144114041) 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, 90747765 + ... + 90891358.

It is an arithmetic number, because the mean of its divisors is an integer number (912191680728).

Almost surely, 2^{13041144114031} is an apocalyptic number.

13041144114031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13041144114031 is a deficient number, since it is larger than the sum of its proper divisors (1553922777617).

13041144114031 is a wasteful number, since it uses less digits than its factorization.

13041144114031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181639302.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1304114 and 4114031, that added together give a palindrome (5418145).

The spelling of 13041144114031 in words is "thirteen trillion, forty-one billion, one hundred forty-four million, one hundred fourteen thousand, thirty-one".