22312133120113 has 8 divisors (see below), whose sum is σ = 22573949475560. Its totient is φ = 22050965629440.

The previous prime is 22312133120099. The next prime is 22312133120117. The reversal of 22312133120113 is 31102133121322.

It can be written as a sum of positive squares in 4 ways, for example, as 4535079649 + 22307598040464 = 67343^2 + 4723092^2 .

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-22312133120113 is a prime.

It is a super-3 number, since 3×22312133120113³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22312133120117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162147018 + ... + 162284563.

It is an arithmetic number, because the mean of its divisors is an integer number (2821743684445).

Almost surely, 2^{22312133120113} is an apocalyptic number.

It is an amenable number.

22312133120113 is a deficient number, since it is larger than the sum of its proper divisors (261816355447).

22312133120113 is an equidigital number, since it uses as much as digits as its factorization.

22312133120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324432387.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22312133120113 its reverse (31102133121322), we get a palindrome (53414266241435).

The spelling of 22312133120113 in words is "twenty-two trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty thousand, one hundred thirteen".