13021142424100 has 36 divisors (see below), whose sum is σ = 28261421622000. Its totient is φ = 5207435299360.

The previous prime is 13021142424089. The next prime is 13021142424109. The reversal of 13021142424100 is 142424112031.

13021142424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13021142424109) 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, 12258430 + ... + 13278229.

It is an arithmetic number, because the mean of its divisors is an integer number (785039489500).

Almost surely, 2^{13021142424100} is an apocalyptic number.

13021142424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021142424100 is an abundant number, since it is smaller than the sum of its proper divisors (15240279197900).

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

13021142424100 is a wasteful number, since it uses less digits than its factorization.

13021142424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25541772 (or 25541765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13021142424100 its reverse (142424112031), we get a palindrome (13163566536131).

The spelling of 13021142424100 in words is "thirteen trillion, twenty-one billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred".