103013022321 has 64 divisors (see below), whose sum is σ = 168535987200. Its totient is φ = 61664803200.

The previous prime is 103013022317. The next prime is 103013022341. The reversal of 103013022321 is 123220310301.

103013022321 is a `hidden beast` number, since 10 + 30 + 1 + 302 + 2 + 321 = 666.

It is not a de Polignac number, because 103013022321 - 2² = 103013022317 is a prime.

It is a super-2 number, since 2×103013022321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013022294 and 103013022303.

It is not an unprimeable number, because it can be changed into a prime (103013022341) 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 63 ways as a sum of consecutive naturals, for example, 37718526 + ... + 37721256.

It is an arithmetic number, because the mean of its divisors is an integer number (2633374800).

Almost surely, 2^103013022321 is an apocalyptic number.

103013022321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103013022321 is a deficient number, since it is larger than the sum of its proper divisors (65522964879).

103013022321 is a wasteful number, since it uses less digits than its factorization.

103013022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103013022321 its reverse (123220310301), we get a palindrome (226233332622).

The spelling of 103013022321 in words is "one hundred three billion, thirteen million, twenty-two thousand, three hundred twenty-one".