213040040312 has 16 divisors (see below), whose sum is σ = 435763719000. Its totient is φ = 96836381920.

The previous prime is 213040040303. The next prime is 213040040329.

213040040312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213040040312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1210454687 + ... + 1210454862.

Almost surely, 2^213040040312 is an apocalyptic number.

213040040312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213040040312 is an abundant number, since it is smaller than the sum of its proper divisors (222723678688).

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

213040040312 is a wasteful number, since it uses less digits than its factorization.

213040040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420909566 (or 2420909562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 2130400 and 40312, that added together give a palindrome (2170712).

The spelling of 213040040312 in words is "two hundred thirteen billion, forty million, forty thousand, three hundred twelve".