213140041312 has 48 divisors (see below), whose sum is σ = 467506432512. Its totient is φ = 94820513920.

The previous prime is 213140041297. The next prime is 213140041343.

213140041312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6425068 + ... + 6458155.

It is an arithmetic number, because the mean of its divisors is an integer number (9739717344).

Almost surely, 2^213140041312 is an apocalyptic number.

213140041312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213140041312 is an abundant number, since it is smaller than the sum of its proper divisors (254366391200).

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

213140041312 is a wasteful number, since it uses less digits than its factorization.

213140041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883291 (or 12883283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2131400 and 41312, that added together give a palindrome (2172712).

The spelling of 213140041312 in words is "two hundred thirteen billion, one hundred forty million, forty-one thousand, three hundred twelve".