103022123132313 has 96 divisors (see below), whose sum is σ = 187340021806080. Its totient is φ = 52996152424320.

The previous prime is 103022123132303. The next prime is 103022123132339. The reversal of 103022123132313 is 313231321220301.

103022123132313 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 212 + 3 + 132 + 313 = 666.

It is not a de Polignac number, because 103022123132313 - 2⁵ = 103022123132281 is a prime.

It is a super-2 number, since 2×103022123132313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103022123132303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129754470 + ... + 130546032.

It is an arithmetic number, because the mean of its divisors is an integer number (1951458560480).

Almost surely, 2^{103022123132313} is an apocalyptic number.

It is an amenable number.

103022123132313 is a deficient number, since it is larger than the sum of its proper divisors (84317898673767).

103022123132313 is a wasteful number, since it uses less digits than its factorization.

103022123132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793419 (or 793416 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103022123132313 its reverse (313231321220301), we get a palindrome (416253444352614).

The spelling of 103022123132313 in words is "one hundred three trillion, twenty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred thirteen".