31101101323013 has 2 divisors, whose sum is σ = 31101101323014. Its totient is φ = 31101101323012.

The previous prime is 31101101323009. The next prime is 31101101323051. The reversal of 31101101323013 is 31032310110113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25887153795364 + 5213947527649 = 5087942^2 + 2283407^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101101323013 - 2² = 31101101323009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31101101923013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550550661506 + 15550550661507.

It is an arithmetic number, because the mean of its divisors is an integer number (15550550661507).

Almost surely, 2^{31101101323013} is an apocalyptic number.

It is an amenable number.

31101101323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101101323013 is an equidigital number, since it uses as much as digits as its factorization.

31101101323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 31101101323013 its reverse (31032310110113), we get a palindrome (62133411433126).

The spelling of 31101101323013 in words is "thirty-one trillion, one hundred one billion, one hundred one million, three hundred twenty-three thousand, thirteen".