13100121321 has 64 divisors (see below), whose sum is σ = 21048201216. Its totient is φ = 7091884800.

The previous prime is 13100121283. The next prime is 13100121323. The reversal of 13100121321 is 12312100131.

It is a happy number.

It is not a de Polignac number, because 13100121321 - 2¹¹ = 13100119273 is a prime.

It is a super-2 number, since 2×13100121321² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13100121321.

It is not an unprimeable number, because it can be changed into a prime (13100121323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4577431 + ... + 4580291.

It is an arithmetic number, because the mean of its divisors is an integer number (328878144).

Almost surely, 2^13100121321 is an apocalyptic number.

It is an amenable number.

13100121321 is a deficient number, since it is larger than the sum of its proper divisors (7948079895).

13100121321 is a wasteful number, since it uses less digits than its factorization.

13100121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13100121321 its reverse (12312100131), we get a palindrome (25412221452).

It can be divided in two parts, 13100 and 121321, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 13100121321 in words is "thirteen billion, one hundred million, one hundred twenty-one thousand, three hundred twenty-one".