103122332133313 has 8 divisors (see below), whose sum is σ = 103353939765000. Its totient is φ = 102890733109248.

The previous prime is 103122332133307. The next prime is 103122332133323. The reversal of 103122332133313 is 313331233221301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39515518382769 + 63606813750544 = 6286137^2 + 7975388^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 103122332133313 - 2²¹ = 103122330036161 is a prime.

It is a super-2 number, since 2×103122332133313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103122332133323) 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, 22143345 + ... + 26392657.

It is an arithmetic number, because the mean of its divisors is an integer number (12919242470625).

Almost surely, 2^{103122332133313} is an apocalyptic number.

It is an amenable number.

103122332133313 is a deficient number, since it is larger than the sum of its proper divisors (231607631687).

103122332133313 is an equidigital number, since it uses as much as digits as its factorization.

103122332133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303811.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 103122332133313 its reverse (313331233221301), we get a palindrome (416453565354614).

The spelling of 103122332133313 in words is "one hundred three trillion, one hundred twenty-two billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".