31023013332013 has 2 divisors, whose sum is σ = 31023013332014. Its totient is φ = 31023013332012.

The previous prime is 31023013332001. The next prime is 31023013332023. The reversal of 31023013332013 is 31023331032013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23416521039844 + 7606492292169 = 4839062^2 + 2757987^2 .

It is an emirp because it is prime and its reverse (31023331032013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31023013332013 - 2¹⁷ = 31023013200941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31023013332023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15511506666006 + 15511506666007.

It is an arithmetic number, because the mean of its divisors is an integer number (15511506666007).

Almost surely, 2^{31023013332013} is an apocalyptic number.

It is an amenable number.

31023013332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31023013332013 is an equidigital number, since it uses as much as digits as its factorization.

31023013332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 31023013332013 its reverse (31023331032013), we get a palindrome (62046344364026).

The spelling of 31023013332013 in words is "thirty-one trillion, twenty-three billion, thirteen million, three hundred thirty-two thousand, thirteen".