2013542132 has 48 divisors (see below), whose sum is σ = 4170915840. Its totient is φ = 832312800.

The previous prime is 2013542131. The next prime is 2013542149. The reversal of 2013542132 is 2312453102.

It is a junction number, because it is equal to n+sod(n) for n = 2013542098 and 2013542107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013542131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266219 + ... + 273677.

It is an arithmetic number, because the mean of its divisors is an integer number (86894080).

Almost surely, 2^2013542132 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 2013542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085457920).

2013542132 is an abundant number, since it is smaller than the sum of its proper divisors (2157373708).

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

2013542132 is a wasteful number, since it uses less digits than its factorization.

2013542132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2013542132 is about 44872.5097582027. The cubic root of 2013542132 is about 1262.7583252331.

Adding to 2013542132 its reverse (2312453102), we get a palindrome (4325995234).

The spelling of 2013542132 in words is "two billion, thirteen million, five hundred forty-two thousand, one hundred thirty-two".