31201201210013 has 2 divisors, whose sum is σ = 31201201210014. Its totient is φ = 31201201210012.

The previous prime is 31201201209991. The next prime is 31201201210027. The reversal of 31201201210013 is 31001210210213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26586429377209 + 4614771832804 = 5156203^2 + 2148202^2 .

It is a cyclic number.

It is not a de Polignac number, because 31201201210013 - 2²⁴ = 31201184432797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31201201209973 and 31201201210000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31201201210813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15600600605006 + 15600600605007.

It is an arithmetic number, because the mean of its divisors is an integer number (15600600605007).

Almost surely, 2^{31201201210013} is an apocalyptic number.

It is an amenable number.

31201201210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31201201210013 is an equidigital number, since it uses as much as digits as its factorization.

31201201210013 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 31201201210013 its reverse (31001210210213), we get a palindrome (62202411420226).

The spelling of 31201201210013 in words is "thirty-one trillion, two hundred one billion, two hundred one million, two hundred ten thousand, thirteen".