13101332121 has 14 divisors (see below), whose sum is σ = 19643013450. Its totient is φ = 8734220928.

The previous prime is 13101332107. The next prime is 13101332137. The reversal of 13101332121 is 12123310131.

13101332121 is a `hidden beast` number, since 1 + 310 + 1 + 332 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10906878096 + 2194454025 = 104436^2 + 46845^2 .

It is not a de Polignac number, because 13101332121 - 2⁵ = 13101332089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101332094 and 13101332103.

It is not an unprimeable number, because it can be changed into a prime (13101332141) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8985096 + ... + 8986553.

Almost surely, 2^13101332121 is an apocalyptic number.

It is an amenable number.

13101332121 is a deficient number, since it is larger than the sum of its proper divisors (6541681329).

13101332121 is an frugal number, since it uses more digits than its factorization.

13101332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17971667 (or 17971652 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101332121 its reverse (12123310131), we get a palindrome (25224642252).

The spelling of 13101332121 in words is "thirteen billion, one hundred one million, three hundred thirty-two thousand, one hundred twenty-one".