2013012012312 has 320 divisors, whose sum is σ = 6831752928000. Its totient is φ = 540952245504.

The previous prime is 2013012012301. The next prime is 2013012012329. The reversal of 2013012012312 is 2132102103102.

2013012012312 is a `hidden beast` number, since 20 + 1 + 301 + 20 + 12 + 312 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11895558 + ... + 12063594.

It is an arithmetic number, because the mean of its divisors is an integer number (21349227900).

Almost surely, 2^{2013012012312} 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 2013012012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415876464000).

2013012012312 is an abundant number, since it is smaller than the sum of its proper divisors (4818740915688).

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

2013012012312 is a wasteful number, since it uses less digits than its factorization.

2013012012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168220 (or 168207 counting only the distinct ones).

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

Adding to 2013012012312 its reverse (2132102103102), we get a palindrome (4145114115414).

The spelling of 2013012012312 in words is "two trillion, thirteen billion, twelve million, twelve thousand, three hundred twelve".