10031012219993 has 2 divisors, whose sum is σ = 10031012219994. Its totient is φ = 10031012219992.

The previous prime is 10031012219971. The next prime is 10031012220013. The reversal of 10031012219993 is 39991221013001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5372442529609 + 4658569690384 = 2317853^2 + 2158372^2 .

It is an emirp because it is prime and its reverse (39991221013001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031012219993 - 2⁸ = 10031012219737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031012219993.

It is not a weakly prime, because it can be changed into another prime (10031012219693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015506109996 + 5015506109997.

It is an arithmetic number, because the mean of its divisors is an integer number (5015506109997).

Almost surely, 2^{10031012219993} is an apocalyptic number.

It is an amenable number.

10031012219993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031012219993 is an equidigital number, since it uses as much as digits as its factorization.

10031012219993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 41.

The spelling of 10031012219993 in words is "ten trillion, thirty-one billion, twelve million, two hundred nineteen thousand, nine hundred ninety-three".