13100233201024 has 128 divisors (see below), whose sum is σ = 26624518502400. Its totient is φ = 6419098312704.

The previous prime is 13100233200997. The next prime is 13100233201057. The reversal of 13100233201024 is 42010233200131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13100233201024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100233200986 and 13100233201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384358917 + ... + 1384368379.

It is an arithmetic number, because the mean of its divisors is an integer number (208004050800).

Almost surely, 2^{13100233201024} 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 13100233201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312259251200).

13100233201024 is an abundant number, since it is smaller than the sum of its proper divisors (13524285301376).

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

13100233201024 is an equidigital number, since it uses as much as digits as its factorization.

13100233201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13100233201024 its reverse (42010233200131), we get a palindrome (55110466401155).

The spelling of 13100233201024 in words is "thirteen trillion, one hundred billion, two hundred thirty-three million, two hundred one thousand, twenty-four".