13201100032122 has 48 divisors (see below), whose sum is σ = 28652736872448. Its totient is φ = 4392621848160.

The previous prime is 13201100031997. The next prime is 13201100032123. The reversal of 13201100032122 is 22123000110231.

13201100032122 is a `hidden beast` number, since 1 + 320 + 1 + 1 + 0 + 0 + 0 + 321 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13201100032095 and 13201100032104.

It is not an unprimeable number, because it can be changed into a prime (13201100032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90306463 + ... + 90452525.

It is an arithmetic number, because the mean of its divisors is an integer number (596932018176).

Almost surely, 2^{13201100032122} is an apocalyptic number.

13201100032122 is an abundant number, since it is smaller than the sum of its proper divisors (15451636840326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13201100032122 is a wasteful number, since it uses less digits than its factorization.

13201100032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154875 (or 154872 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13201100032122 its reverse (22123000110231), we get a palindrome (35324100142353).

The spelling of 13201100032122 in words is "thirteen trillion, two hundred one billion, one hundred million, thirty-two thousand, one hundred twenty-two".