13101201101032 has 128 divisors (see below), whose sum is σ = 29549694240000. Its totient is φ = 5375201628160.

The previous prime is 13101201100997. The next prime is 13101201101033. The reversal of 13101201101032 is 23010110210131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13101201100997 and 13101201101015.

It is not an unprimeable number, because it can be changed into a prime (13101201101033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5450853 + ... + 7477579.

It is an arithmetic number, because the mean of its divisors is an integer number (230856986250).

Almost surely, 2^{13101201101032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101201101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774847120000).

13101201101032 is an abundant number, since it is smaller than the sum of its proper divisors (16448493138968).

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

13101201101032 is a wasteful number, since it uses less digits than its factorization.

13101201101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026939 (or 2026935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13101201101032 its reverse (23010110210131), we get a palindrome (36111311311163).

The spelling of 13101201101032 in words is "thirteen trillion, one hundred one billion, two hundred one million, one hundred one thousand, thirty-two".