3131101201001 has 2 divisors, whose sum is σ = 3131101201002. Its totient is φ = 3131101201000.

The previous prime is 3131101200973. The next prime is 3131101201051. The reversal of 3131101201001 is 1001021011313.

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., 3112842705625 + 18258495376 = 1764325^2 + 135124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131101201001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3131101201051) 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, 1565550600500 + 1565550600501.

It is an arithmetic number, because the mean of its divisors is an integer number (1565550600501).

Almost surely, 2^{3131101201001} is an apocalyptic number.

It is an amenable number.

3131101201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131101201001 is an equidigital number, since it uses as much as digits as its factorization.

3131101201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 3131101201001 its reverse (1001021011313), we get a palindrome (4132122212314).

The spelling of 3131101201001 in words is "three trillion, one hundred thirty-one billion, one hundred one million, two hundred one thousand, one".