13123411432131 has 256 divisors, whose sum is σ = 25645563740160. Its totient is φ = 5744197140480.

The previous prime is 13123411432121. The next prime is 13123411432133.

It is a happy number.

13123411432131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13123411432131 - 2⁵ = 13123411432099 is a prime.

It is a super-2 number, since 2×13123411432131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123411432133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 217414051 + ... + 217474403.

It is an arithmetic number, because the mean of its divisors is an integer number (100177983360).

Almost surely, 2^{13123411432131} is an apocalyptic number.

13123411432131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123411432131 is a deficient number, since it is larger than the sum of its proper divisors (12522152308029).

13123411432131 is a wasteful number, since it uses less digits than its factorization.

13123411432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60546.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1312341 and 1432131, that added together give a palindrome (2744472).

The spelling of 13123411432131 in words is "thirteen trillion, one hundred twenty-three billion, four hundred eleven million, four hundred thirty-two thousand, one hundred thirty-one".