31122122331313 has 8 divisors (see below), whose sum is σ = 33741072225000. Its totient is φ = 28535306792448.

The previous prime is 31122122331301. The next prime is 31122122331331. The reversal of 31122122331313 is 31313322122113.

It can be written as a sum of positive squares in 4 ways, for example, as 615146881969 + 30506975449344 = 784313^2 + 5523312^2 .

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-31122122331313 is a prime.

It is a super-2 number, since 2×31122122331313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31122122335313) 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, 8033586688 + ... + 8033590561.

It is an arithmetic number, because the mean of its divisors is an integer number (4217634028125).

Almost surely, 2^{31122122331313} is an apocalyptic number.

It is an amenable number.

31122122331313 is a deficient number, since it is larger than the sum of its proper divisors (2618949893687).

31122122331313 is a wasteful number, since it uses less digits than its factorization.

31122122331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16067177411.

The product of its digits is 3888, while the sum is 28.

Adding to 31122122331313 its reverse (31313322122113), we get a palindrome (62435444453426).

The spelling of 31122122331313 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred thirteen".