2131120021312 has 112 divisors (see below), whose sum is σ = 4526863387200. Its totient is φ = 992408924160.

The previous prime is 2131120021291. The next prime is 2131120021333. The reversal of 2131120021312 is 2131200211312.

It is an interprime number because it is at equal distance from previous prime (2131120021291) and next prime (2131120021333).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2131120021312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166370364 + ... + 166383172.

It is an arithmetic number, because the mean of its divisors is an integer number (40418423100).

Almost surely, 2^{2131120021312} 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 2131120021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263431693600).

2131120021312 is an abundant number, since it is smaller than the sum of its proper divisors (2395743365888).

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

2131120021312 is a wasteful number, since it uses less digits than its factorization.

2131120021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2131120021312 its reverse (2131200211312), we get a palindrome (4262320232624).

The spelling of 2131120021312 in words is "two trillion, one hundred thirty-one billion, one hundred twenty million, twenty-one thousand, three hundred twelve".