13142811824131 has 8 divisors (see below), whose sum is σ = 14345791820784. Its totient is φ = 11941194981120.

The previous prime is 13142811824119. The next prime is 13142811824143.

It is a happy number.

13142811824131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13142811824119) and next prime (13142811824143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13142811824131 - 2⁷ = 13142811824003 is a prime.

It is a super-2 number, since 2×13142811824131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13142811854131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340768246 + ... + 340806811.

It is an arithmetic number, because the mean of its divisors is an integer number (1793223977598).

Almost surely, 2^{13142811824131} is an apocalyptic number.

13142811824131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142811824131 is a deficient number, since it is larger than the sum of its proper divisors (1202979996653).

13142811824131 is a wasteful number, since it uses less digits than its factorization.

13142811824131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681576821.

The product of its digits is 36864, while the sum is 40.

The spelling of 13142811824131 in words is "thirteen trillion, one hundred forty-two billion, eight hundred eleven million, eight hundred twenty-four thousand, one hundred thirty-one".