31313200213153 has 2 divisors, whose sum is σ = 31313200213154. Its totient is φ = 31313200213152.

The previous prime is 31313200213123. The next prime is 31313200213157. The reversal of 31313200213153 is 35131200231313.

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., 22862388420369 + 8450811792784 = 4781463^2 + 2907028^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313200213153 - 2⁹ = 31313200212641 is a prime.

It is not a weakly prime, because it can be changed into another prime (31313200213157) 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, 15656600106576 + 15656600106577.

It is an arithmetic number, because the mean of its divisors is an integer number (15656600106577).

Almost surely, 2^{31313200213153} is an apocalyptic number.

It is an amenable number.

31313200213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313200213153 is an equidigital number, since it uses as much as digits as its factorization.

31313200213153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 31313200213153 its reverse (35131200231313), we get a palindrome (66444400444466).

The spelling of 31313200213153 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, two hundred thirteen thousand, one hundred fifty-three".