13100122321 has 24 divisors (see below), whose sum is σ = 15902998272. Its totient is φ = 10638381600.

The previous prime is 13100122309. The next prime is 13100122367. The reversal of 13100122321 is 12322100131.

It is not a de Polignac number, because 13100122321 - 2⁷ = 13100122193 is a prime.

It is a super-2 number, since 2×13100122321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100122295 and 13100122304.

It is not an unprimeable number, because it can be changed into a prime (13100102321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89760 + ... + 185086.

It is an arithmetic number, because the mean of its divisors is an integer number (662624928).

Almost surely, 2^13100122321 is an apocalyptic number.

13100122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13100122321 is a deficient number, since it is larger than the sum of its proper divisors (2802875951).

13100122321 is a wasteful number, since it uses less digits than its factorization.

13100122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95413 (or 95382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13100122321 its reverse (12322100131), we get a palindrome (25422222452).

The spelling of 13100122321 in words is "thirteen billion, one hundred million, one hundred twenty-two thousand, three hundred twenty-one".