31132111123153 has 2 divisors, whose sum is σ = 31132111123154. Its totient is φ = 31132111123152.

The previous prime is 31132111123129. The next prime is 31132111123171. The reversal of 31132111123153 is 35132111123113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17210981526544 + 13921129596609 = 4148612^2 + 3731103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31132111123153 is a prime.

It is a super-2 number, since 2×31132111123153² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31132111123753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566055561576 + 15566055561577.

It is an arithmetic number, because the mean of its divisors is an integer number (15566055561577).

Almost surely, 2^{31132111123153} is an apocalyptic number.

It is an amenable number.

31132111123153 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132111123153 is an equidigital number, since it uses as much as digits as its factorization.

31132111123153 is an odious number, because the sum of its binary digits is odd.

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

Adding to 31132111123153 its reverse (35132111123113), we get a palindrome (66264222246266).

The spelling of 31132111123153 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred eleven million, one hundred twenty-three thousand, one hundred fifty-three".