31121315200009 has 2 divisors, whose sum is σ = 31121315200010. Its totient is φ = 31121315200008.

The previous prime is 31121315199979. The next prime is 31121315200049. The reversal of 31121315200009 is 90000251312113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17094941967609 + 14026373232400 = 4134603^2 + 3745180^2 .

It is a cyclic number.

It is not a de Polignac number, because 31121315200009 - 2¹⁹ = 31121314675721 is a prime.

It is a super-2 number, since 2×31121315200009² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31121315200009.

It is not a weakly prime, because it can be changed into another prime (31121315200049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560657600004 + 15560657600005.

It is an arithmetic number, because the mean of its divisors is an integer number (15560657600005).

Almost surely, 2^{31121315200009} is an apocalyptic number.

It is an amenable number.

31121315200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31121315200009 is an equidigital number, since it uses as much as digits as its factorization.

31121315200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 31121315200009 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred fifteen million, two hundred thousand, nine".