2013132210012 has 144 divisors (see below), whose sum is σ = 6464123108352. Its totient is φ = 513025568640.

The previous prime is 2013132210007. The next prime is 2013132210029. The reversal of 2013132210012 is 2100122313102.

2013132210012 is a `hidden beast` number, since 201 + 31 + 322 + 100 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6704388 + ... + 6998219.

It is an arithmetic number, because the mean of its divisors is an integer number (44889743808).

Almost surely, 2^{2013132210012} is an apocalyptic number.

2013132210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013132210012 is an abundant number, since it is smaller than the sum of its proper divisors (4450990898340).

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

2013132210012 is a wasteful number, since it uses less digits than its factorization.

2013132210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702688 (or 13702683 counting only the distinct ones).

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

Adding to 2013132210012 its reverse (2100122313102), we get a palindrome (4113254523114).

The spelling of 2013132210012 in words is "two trillion, thirteen billion, one hundred thirty-two million, two hundred ten thousand, twelve".