2013131202012 has 144 divisors (see below), whose sum is σ = 5913924307200. Its totient is φ = 565539321600.

The previous prime is 2013131202011. The next prime is 2013131202013. The reversal of 2013131202012 is 2102021313102.

2013131202012 is a `hidden beast` number, since 20 + 131 + 312 + 0 + 201 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2013131202011) and next prime (2013131202013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013131202011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3763887 + ... + 4265337.

It is an arithmetic number, because the mean of its divisors is an integer number (41068918800).

Almost surely, 2^{2013131202012} 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 2013131202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956962153600).

2013131202012 is an abundant number, since it is smaller than the sum of its proper divisors (3900793105188).

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

2013131202012 is a wasteful number, since it uses less digits than its factorization.

2013131202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501736 (or 501731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013131202012 its reverse (2102021313102), we get a palindrome (4115152515114).

The spelling of 2013131202012 in words is "two trillion, thirteen billion, one hundred thirty-one million, two hundred two thousand, twelve".