131201011001 has 2 divisors, whose sum is σ = 131201011002. Its totient is φ = 131201011000.

The previous prime is 131201010977. The next prime is 131201011057. The reversal of 131201011001 is 100110102131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130700325625 + 500685376 = 361525^2 + 22376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131201011001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131201311001) 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 as a sum of consecutive naturals, namely, 65600505500 + 65600505501.

It is an arithmetic number, because the mean of its divisors is an integer number (65600505501).

Almost surely, 2^131201011001 is an apocalyptic number.

It is an amenable number.

131201011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201011001 is an equidigital number, since it uses as much as digits as its factorization.

131201011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 131201011001 its reverse (100110102131), we get a palindrome (231311113132).

The spelling of 131201011001 in words is "one hundred thirty-one billion, two hundred one million, eleven thousand, one".