213112105040 has 40 divisors (see below), whose sum is σ = 495542330880. Its totient is φ = 85235089536.

The previous prime is 213112105013. The next prime is 213112105049. The reversal of 213112105040 is 40501211312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112105049) 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 7 ways as a sum of consecutive naturals, for example, 572681 + ... + 868439.

It is an arithmetic number, because the mean of its divisors is an integer number (12388558272).

Almost surely, 2^213112105040 is an apocalyptic number.

213112105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213112105040 is an abundant number, since it is smaller than the sum of its proper divisors (282430225840).

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

213112105040 is a wasteful number, since it uses less digits than its factorization.

213112105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304779 (or 304773 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 213112105040 its reverse (40501211312), we get a palindrome (253613316352).

The spelling of 213112105040 in words is "two hundred thirteen billion, one hundred twelve million, one hundred five thousand, forty".