31200021120113 has 2 divisors, whose sum is σ = 31200021120114. Its totient is φ = 31200021120112.

The previous prime is 31200021120089. The next prime is 31200021120133. The reversal of 31200021120113 is 31102112000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20488912555024 + 10711108565089 = 4526468^2 + 3272783^2 .

It is a cyclic number.

It is not a de Polignac number, because 31200021120113 - 2¹⁴ = 31200021103729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31200021120091 and 31200021120100.

It is not a weakly prime, because it can be changed into another prime (31200021120133) 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, 15600010560056 + 15600010560057.

It is an arithmetic number, because the mean of its divisors is an integer number (15600010560057).

Almost surely, 2^{31200021120113} is an apocalyptic number.

It is an amenable number.

31200021120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31200021120113 is an equidigital number, since it uses as much as digits as its factorization.

31200021120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31200021120113 its reverse (31102112000213), we get a palindrome (62302133120326).

The spelling of 31200021120113 in words is "thirty-one trillion, two hundred billion, twenty-one million, one hundred twenty thousand, one hundred thirteen".