13024133142031 has 32 divisors (see below), whose sum is σ = 15110354304000. Its totient is φ = 11094453242880.

The previous prime is 13024133142029. The next prime is 13024133142061.

13024133142031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13024133142031 - 2¹ = 13024133142029 is a prime.

It is a super-2 number, since 2×13024133142031² (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 (13024133142011) 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 31 ways as a sum of consecutive naturals, for example, 207746416 + ... + 207809098.

It is an arithmetic number, because the mean of its divisors is an integer number (472198572000).

Almost surely, 2^{13024133142031} is an apocalyptic number.

13024133142031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13024133142031 is a deficient number, since it is larger than the sum of its proper divisors (2086221161969).

13024133142031 is a wasteful number, since it uses less digits than its factorization.

13024133142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67599.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1302413 and 3142031, that added together give a palindrome (4444444).

The spelling of 13024133142031 in words is "thirteen trillion, twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, thirty-one".