2131312131312 has 320 divisors, whose sum is σ = 6969387264000. Its totient is φ = 546145431552.

The previous prime is 2131312131283. The next prime is 2131312131317.

2131312131312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131312131317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120071814 + ... + 120089562.

It is an arithmetic number, because the mean of its divisors is an integer number (21779335200).

Almost surely, 2^{2131312131312} 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 2131312131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484693632000).

2131312131312 is an abundant number, since it is smaller than the sum of its proper divisors (4838075132688).

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

2131312131312 is a wasteful number, since it uses less digits than its factorization.

2131312131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18560 (or 18554 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 2131312131312 in words is "two trillion, one hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred twelve".