13232100042 has 144 divisors (see below), whose sum is σ = 37171405440. Its totient is φ = 3370864896.

The previous prime is 13232100041. The next prime is 13232100071. The reversal of 13232100042 is 24000123231.

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 = 13232099988 and 13232100024.

It is not an unprimeable number, because it can be changed into a prime (13232100041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261663 + ... + 308109.

It is an arithmetic number, because the mean of its divisors is an integer number (258134760).

Almost surely, 2^13232100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18585702720).

13232100042 is an abundant number, since it is smaller than the sum of its proper divisors (23939305398).

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

13232100042 is a wasteful number, since it uses less digits than its factorization.

13232100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46505 (or 46495 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13232100042 its reverse (24000123231), we get a palindrome (37232223273).

The spelling of 13232100042 in words is "thirteen billion, two hundred thirty-two million, one hundred thousand, forty-two".