1031331100001 has 2 divisors, whose sum is σ = 1031331100002. Its totient is φ = 1031331100000.

The previous prime is 1031331099923. The next prime is 1031331100013. The reversal of 1031331100001 is 1000011331301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 983817999376 + 47513100625 = 991876^2 + 217975^2 .

It is an emirp because it is prime and its reverse (1000011331301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031331100001 - 2¹⁰ = 1031331098977 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 (1031331103001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515665550000 + 515665550001.

It is an arithmetic number, because the mean of its divisors is an integer number (515665550001).

Almost surely, 2^{1031331100001} is an apocalyptic number.

It is an amenable number.

1031331100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031331100001 is an equidigital number, since it uses as much as digits as its factorization.

1031331100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1031331100001 its reverse (1000011331301), we get a palindrome (2031342431302).

The spelling of 1031331100001 in words is "one trillion, thirty-one billion, three hundred thirty-one million, one hundred thousand, one".