31122112232201 has 8 divisors (see below), whose sum is σ = 32195667839880. Its totient is φ = 30048581912832.

The previous prime is 31122112232161. The next prime is 31122112232219. The reversal of 31122112232201 is 10223221122113.

It can be written as a sum of positive squares in 4 ways, for example, as 744598135801 + 30377514096400 = 862901^2 + 5511580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31122112232201 is a prime.

It is a super-3 number, since 3×31122112232201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31122112238201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3801200 + ... + 8757473.

It is an arithmetic number, because the mean of its divisors is an integer number (4024458479985).

Almost surely, 2^{31122112232201} is an apocalyptic number.

It is an amenable number.

31122112232201 is a deficient number, since it is larger than the sum of its proper divisors (1073555607679).

31122112232201 is a wasteful number, since it uses less digits than its factorization.

31122112232201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644155.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 31122112232201 its reverse (10223221122113), we get a palindrome (41345333354314).

The spelling of 31122112232201 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thirty-two thousand, two hundred one".