13102110311121 has 12 divisors (see below), whose sum is σ = 20381060484148. Its totient is φ = 8062837114464.

The previous prime is 13102110311113. The next prime is 13102110311137. The reversal of 13102110311121 is 12111301120131.

13102110311121 is a `hidden beast` number, since 1 + 310 + 21 + 1 + 0 + 311 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 580703437521 + 12521406873600 = 762039^2 + 3538560^2 .

It is not a de Polignac number, because 13102110311121 - 2³ = 13102110311113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13102110311094 and 13102110311103.

It is not an unprimeable number, because it can be changed into a prime (13102112311121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55991924290 + ... + 55991924523.

Almost surely, 2^{13102110311121} is an apocalyptic number.

It is an amenable number.

13102110311121 is a deficient number, since it is larger than the sum of its proper divisors (7278950173027).

13102110311121 is a wasteful number, since it uses less digits than its factorization.

13102110311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111983848832 (or 111983848829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13102110311121 its reverse (12111301120131), we get a palindrome (25213411431252).

The spelling of 13102110311121 in words is "thirteen trillion, one hundred two billion, one hundred ten million, three hundred eleven thousand, one hundred twenty-one".