131211441042001 has 8 divisors (see below), whose sum is σ = 131237717463720. Its totient is φ = 131185167266688.

The previous prime is 131211441041983. The next prime is 131211441042047. The reversal of 131211441042001 is 100240144112131.

It can be written as a sum of positive squares in 4 ways, for example, as 117984108478401 + 13227332563600 = 10862049^2 + 3636940^2 .

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 131211441042001 - 2²⁵ = 131211407487569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131211441045001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100038895 + ... + 101342011.

It is an arithmetic number, because the mean of its divisors is an integer number (16404714682965).

Almost surely, 2^{131211441042001} is an apocalyptic number.

It is an amenable number.

131211441042001 is a deficient number, since it is larger than the sum of its proper divisors (26276421719).

131211441042001 is a wasteful number, since it uses less digits than its factorization.

131211441042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323203.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 131211441042001 its reverse (100240144112131), we get a palindrome (231451585154132).

The spelling of 131211441042001 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred forty-one million, forty-two thousand, one".