13341111114331 has 16 divisors (see below), whose sum is σ = 17912540798208. Its totient is φ = 9596003997600.

The previous prime is 13341111114313. The next prime is 13341111114349.

13341111114331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13341111114313) and next prime (13341111114349).

It is a cyclic number.

It is not a de Polignac number, because 13341111114331 - 2¹³ = 13341111106139 is a prime.

It is a super-2 number, since 2×13341111114331² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13341111114331.

It is not an unprimeable number, because it can be changed into a prime (13341111117331) 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, 6663890665 + ... + 6663892666.

It is an arithmetic number, because the mean of its divisors is an integer number (1119533799888).

Almost surely, 2^{13341111114331} is an apocalyptic number.

13341111114331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13341111114331 is a deficient number, since it is larger than the sum of its proper divisors (4571429683877).

13341111114331 is a wasteful number, since it uses less digits than its factorization.

13341111114331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327783362.

The product of its digits is 1296, while the sum is 28.

It can be divided in two parts, 1334111 and 1114331, that added together give a palindrome (2448442).

The spelling of 13341111114331 in words is "thirteen trillion, three hundred forty-one billion, one hundred eleven million, one hundred fourteen thousand, three hundred thirty-one".