131020441444001 has 16 divisors (see below), whose sum is σ = 139274405283840. Its totient is φ = 122907912665040.

The previous prime is 131020441443989. The next prime is 131020441444049. The reversal of 131020441444001 is 100444144020131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131020441444001 - 2¹⁰ = 131020441442977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020441446001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77215325 + ... + 78893898.

It is an arithmetic number, because the mean of its divisors is an integer number (8704650330240).

Almost surely, 2^{131020441444001} is an apocalyptic number.

It is an amenable number.

131020441444001 is a deficient number, since it is larger than the sum of its proper divisors (8253963839839).

131020441444001 is a wasteful number, since it uses less digits than its factorization.

131020441444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156109676.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 131020441444001 its reverse (100444144020131), we get a palindrome (231464585464132).

The spelling of 131020441444001 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-one million, four hundred forty-four thousand, one".