31101133121 has 2 divisors, whose sum is σ = 31101133122. Its totient is φ = 31101133120.

The previous prime is 31101133057. The next prime is 31101133127. The reversal of 31101133121 is 12133110113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16202489521 + 14898643600 = 127289^2 + 122060^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101133121 - 2⁶ = 31101133057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31101133121.

It is not a weakly prime, because it can be changed into another prime (31101133127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550566560 + 15550566561.

It is an arithmetic number, because the mean of its divisors is an integer number (15550566561).

Almost surely, 2^31101133121 is an apocalyptic number.

It is an amenable number.

31101133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101133121 is an equidigital number, since it uses as much as digits as its factorization.

31101133121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 31101133121 its reverse (12133110113), we get a palindrome (43234243234).

The spelling of 31101133121 in words is "thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-one".