1031231100013 has 2 divisors, whose sum is σ = 1031231100014. Its totient is φ = 1031231100012.

The previous prime is 1031231099999. The next prime is 1031231100023. The reversal of 1031231100013 is 3100011321301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1015656808804 + 15574291209 = 1007798^2 + 124797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1031231100013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1031231100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031231100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515615550006 + 515615550007.

It is an arithmetic number, because the mean of its divisors is an integer number (515615550007).

Almost surely, 2^{1031231100013} is an apocalyptic number.

It is an amenable number.

1031231100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031231100013 is an equidigital number, since it uses as much as digits as its factorization.

1031231100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1031231100013 its reverse (3100011321301), we get a palindrome (4131242421314).

The spelling of 1031231100013 in words is "one trillion, thirty-one billion, two hundred thirty-one million, one hundred thousand, thirteen".