31013033201 has 2 divisors, whose sum is σ = 31013033202. Its totient is φ = 31013033200.

The previous prime is 31013033167. The next prime is 31013033213. The reversal of 31013033201 is 10233031013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30502273201 + 510760000 = 174649^2 + 22600^2 .

It is an emirp because it is prime and its reverse (10233031013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31013033201 - 2¹⁸ = 31012771057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31013033201.

It is not a weakly prime, because it can be changed into another prime (31013033501) 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, 15506516600 + 15506516601.

It is an arithmetic number, because the mean of its divisors is an integer number (15506516601).

Almost surely, 2^31013033201 is an apocalyptic number.

It is an amenable number.

31013033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013033201 is an equidigital number, since it uses as much as digits as its factorization.

31013033201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31013033201 its reverse (10233031013), we get a palindrome (41246064214).

The spelling of 31013033201 in words is "thirty-one billion, thirteen million, thirty-three thousand, two hundred one".