103313211012321 has 16 divisors (see below), whose sum is σ = 140467667377536. Its totient is φ = 67519292936576.

The previous prime is 103313211012299. The next prime is 103313211012373. The reversal of 103313211012321 is 123210112313301.

It is a cyclic number.

It is not a de Polignac number, because 103313211012321 - 2²³ = 103313202623713 is a prime.

It is a super-2 number, since 2×103313211012321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313211012291 and 103313211012300.

It is not an unprimeable number, because it can be changed into a prime (103313211012521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272135805 + ... + 272515178.

It is an arithmetic number, because the mean of its divisors is an integer number (8779229211096).

Almost surely, 2^{103313211012321} is an apocalyptic number.

It is an amenable number.

103313211012321 is a deficient number, since it is larger than the sum of its proper divisors (37154456365215).

103313211012321 is a wasteful number, since it uses less digits than its factorization.

103313211012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544652232.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103313211012321 its reverse (123210112313301), we get a palindrome (226523323325622).

The spelling of 103313211012321 in words is "one hundred three trillion, three hundred thirteen billion, two hundred eleven million, twelve thousand, three hundred twenty-one".