31112211101 has 2 divisors, whose sum is σ = 31112211102. Its totient is φ = 31112211100.

The previous prime is 31112211077. The next prime is 31112211149. The reversal of 31112211101 is 10111221113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29781785476 + 1330425625 = 172574^2 + 36475^2 .

It is a cyclic number.

It is not a de Polignac number, because 31112211101 - 2²⁶ = 31045102237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31112211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556105550 + 15556105551.

It is an arithmetic number, because the mean of its divisors is an integer number (15556105551).

Almost surely, 2^31112211101 is an apocalyptic number.

It is an amenable number.

31112211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31112211101 is an equidigital number, since it uses as much as digits as its factorization.

31112211101 is an evil number, because the sum of its binary digits is even.

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

Adding to 31112211101 its reverse (10111221113), we get a palindrome (41223432214).

It can be divided in two parts, 311122 and 11101, that added together give a palindrome (322223).

The spelling of 31112211101 in words is "thirty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred one".