2131044401312 has 96 divisors (see below), whose sum is σ = 4463010316800. Its totient is φ = 998790559488.

The previous prime is 2131044401257. The next prime is 2131044401363.

2131044401312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54562463 + ... + 54601505.

It is an arithmetic number, because the mean of its divisors is an integer number (46489690800).

Almost surely, 2^{2131044401312} 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 2131044401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231505158400).

2131044401312 is an abundant number, since it is smaller than the sum of its proper divisors (2331965915488).

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

2131044401312 is a wasteful number, since it uses less digits than its factorization.

2131044401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40018 (or 40010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 2131044401312 in words is "two trillion, one hundred thirty-one billion, forty-four million, four hundred one thousand, three hundred twelve".