131001111242321 has 8 divisors (see below), whose sum is σ = 132770350987560. Its totient is φ = 129242187764352.

The previous prime is 131001111242233. The next prime is 131001111242327. The reversal of 131001111242321 is 123242111100131.

It can be written as a sum of positive squares in 4 ways, for example, as 84035632321 + 130917075610000 = 289889^2 + 11441900^2 .

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 131001111242321 - 2⁴² = 126603064731217 is a prime.

It is a super-2 number, since 2×131001111242321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001111242327) 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 7 ways as a sum of consecutive naturals, for example, 2579041250 + ... + 2579092043.

It is an arithmetic number, because the mean of its divisors is an integer number (16596293873445).

Almost surely, 2^{131001111242321} is an apocalyptic number.

It is an amenable number.

131001111242321 is a deficient number, since it is larger than the sum of its proper divisors (1769239745239).

131001111242321 is a wasteful number, since it uses less digits than its factorization.

131001111242321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158133635.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 131001111242321 its reverse (123242111100131), we get a palindrome (254243222342452).

The spelling of 131001111242321 in words is "one hundred thirty-one trillion, one billion, one hundred eleven million, two hundred forty-two thousand, three hundred twenty-one".