31132320101 has 2 divisors, whose sum is σ = 31132320102. Its totient is φ = 31132320100.

The previous prime is 31132320071. The next prime is 31132320103. The reversal of 31132320101 is 10102323113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25487803201 + 5644516900 = 159649^2 + 75130^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132320101 - 2³⁴ = 13952450917 is a prime.

It is a super-2 number, since 2×31132320101² (a number of 22 digits) contains 22 as substring.

Together with 31132320103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31132320101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31132320103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566160050 + 15566160051.

It is an arithmetic number, because the mean of its divisors is an integer number (15566160051).

Almost surely, 2^31132320101 is an apocalyptic number.

It is an amenable number.

31132320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132320101 is an equidigital number, since it uses as much as digits as its factorization.

31132320101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31132320101 its reverse (10102323113), we get a palindrome (41234643214).

The spelling of 31132320101 in words is "thirty-one billion, one hundred thirty-two million, three hundred twenty thousand, one hundred one".