2131000001312 has 192 divisors, whose sum is σ = 5223606925824. Its totient is φ = 833288601600.

The previous prime is 2131000001177. The next prime is 2131000001327.

2131000001312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131000001312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 88224437 + ... + 88248587.

It is an arithmetic number, because the mean of its divisors is an integer number (27206286072).

Almost surely, 2^{2131000001312} 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 2131000001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611803462912).

2131000001312 is an abundant number, since it is smaller than the sum of its proper divisors (3092606924512).

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

2131000001312 is a wasteful number, since it uses less digits than its factorization.

2131000001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24531 (or 24523 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 213100000 and 1312, that added together give a palindrome (213101312).

The spelling of 2131000001312 in words is "two trillion, one hundred thirty-one billion, one thousand, three hundred twelve".