31133322111121 has 2 divisors, whose sum is σ = 31133322111122. Its totient is φ = 31133322111120.

The previous prime is 31133322111119. The next prime is 31133322111173. The reversal of 31133322111121 is 12111122333113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30230632101121 + 902690010000 = 5498239^2 + 950100^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133322111121 - 2¹ = 31133322111119 is a prime.

Together with 31133322111119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31133322111421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566661055560 + 15566661055561.

It is an arithmetic number, because the mean of its divisors is an integer number (15566661055561).

Almost surely, 2^{31133322111121} is an apocalyptic number.

It is an amenable number.

31133322111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133322111121 is an equidigital number, since it uses as much as digits as its factorization.

31133322111121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 25.

Adding to 31133322111121 its reverse (12111122333113), we get a palindrome (43244444444234).

The spelling of 31133322111121 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".