31101141101 has 2 divisors, whose sum is σ = 31101141102. Its totient is φ = 31101141100.

The previous prime is 31101141083. The next prime is 31101141109. The reversal of 31101141101 is 10114110113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20149518601 + 10951622500 = 141949^2 + 104650^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101141101 - 2⁶ = 31101141037 is a prime.

It is a super-2 number, since 2×31101141101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31101141109) 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, 15550570550 + 15550570551.

It is an arithmetic number, because the mean of its divisors is an integer number (15550570551).

Almost surely, 2^31101141101 is an apocalyptic number.

It is an amenable number.

31101141101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101141101 is an equidigital number, since it uses as much as digits as its factorization.

31101141101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 31101141101 its reverse (10114110113), we get a palindrome (41215251214).

The spelling of 31101141101 in words is "thirty-one billion, one hundred one million, one hundred forty-one thousand, one hundred one".