2013131442 has 64 divisors (see below), whose sum is σ = 4810420224. Its totient is φ = 549151680.

The previous prime is 2013131441. The next prime is 2013131459. The reversal of 2013131442 is 2441313102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2013131441) 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, 623392 + ... + 626612.

It is an arithmetic number, because the mean of its divisors is an integer number (75162816).

Almost surely, 2^2013131442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013131442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405210112).

2013131442 is an abundant number, since it is smaller than the sum of its proper divisors (2797288782).

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

2013131442 is a wasteful number, since it uses less digits than its factorization.

2013131442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2013131442 is about 44867.9333377413. The cubic root of 2013131442 is about 1262.6724670049.

Adding to 2013131442 its reverse (2441313102), we get a palindrome (4454444544).

The spelling of 2013131442 in words is "two billion, thirteen million, one hundred thirty-one thousand, four hundred forty-two".