2131126211312 has 160 divisors (see below), whose sum is σ = 4833249080832. Its totient is φ = 891513188352.

The previous prime is 2131126211297. The next prime is 2131126211317.

2131126211312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131126211312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131126211317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388676123 + ... + 388681605.

Almost surely, 2^{2131126211312} 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 2131126211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416624540416).

2131126211312 is an abundant number, since it is smaller than the sum of its proper divisors (2702122869520).

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

2131126211312 is a wasteful number, since it uses less digits than its factorization.

2131126211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6049 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The spelling of 2131126211312 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-six million, two hundred eleven thousand, three hundred twelve".