2013031211312 has 160 divisors (see below), whose sum is σ = 4505998740480. Its totient is φ = 862202880000.

The previous prime is 2013031211311. The next prime is 2013031211333. The reversal of 2013031211312 is 2131121303102.

It is a happy number.

It is a super-2 number, since 2×2013031211312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013031211311) 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, 517619864 + ... + 517623752.

It is an arithmetic number, because the mean of its divisors is an integer number (28162492128).

Almost surely, 2^{2013031211312} is an apocalyptic number.

2013031211312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013031211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252999370240).

2013031211312 is an abundant number, since it is smaller than the sum of its proper divisors (2492967529168).

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

2013031211312 is a wasteful number, since it uses less digits than its factorization.

2013031211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2013031211312 its reverse (2131121303102), we get a palindrome (4144152514414).

The spelling of 2013031211312 in words is "two trillion, thirteen billion, thirty-one million, two hundred eleven thousand, three hundred twelve".