13024144142031 has 64 divisors (see below), whose sum is σ = 19675935866880. Its totient is φ = 7591779216000.

The previous prime is 13024144141979. The next prime is 13024144142071.

It is a happy number.

13024144142031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13024144142031 - 2¹⁹ = 13024143617743 is a prime.

It is a super-2 number, since 2×13024144142031² (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 13024144142031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024144142071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152997226 + ... + 153082328.

It is an arithmetic number, because the mean of its divisors is an integer number (307436497920).

Almost surely, 2^{13024144142031} is an apocalyptic number.

13024144142031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13024144142031 is a deficient number, since it is larger than the sum of its proper divisors (6651791724849).

13024144142031 is a wasteful number, since it uses less digits than its factorization.

13024144142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86068.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1302414 and 4142031, that added together give a palindrome (5444445).

The spelling of 13024144142031 in words is "thirteen trillion, twenty-four billion, one hundred forty-four million, one hundred forty-two thousand, thirty-one".