31111101101321 has 2 divisors, whose sum is σ = 31111101101322. Its totient is φ = 31111101101320.

The previous prime is 31111101101309. The next prime is 31111101101351. The reversal of 31111101101321 is 12310110111113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25424426245696 + 5686674855625 = 5042264^2 + 2384675^2 .

It is a cyclic number.

It is not a de Polignac number, because 31111101101321 - 2¹⁰ = 31111101100297 is a prime.

It is a super-2 number, since 2×31111101101321² (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 31111101101321.

It is not a weakly prime, because it can be changed into another prime (31111101101351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15555550550660 + 15555550550661.

It is an arithmetic number, because the mean of its divisors is an integer number (15555550550661).

Almost surely, 2^{31111101101321} is an apocalyptic number.

It is an amenable number.

31111101101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

31111101101321 is an equidigital number, since it uses as much as digits as its factorization.

31111101101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 31111101101321 its reverse (12310110111113), we get a palindrome (43421211212434).

The spelling of 31111101101321 in words is "thirty-one trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, three hundred twenty-one".