213011040 has 96 divisors (see below), whose sum is σ = 732001536. Its totient is φ = 51637760.

The previous prime is 213011039. The next prime is 213011047. The reversal of 213011040 is 40110312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213011047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14892 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (7625016).

Almost surely, 2^213011040 is an apocalyptic number.

213011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213011040 is an abundant number, since it is smaller than the sum of its proper divisors (518990496).

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

213011040 is a wasteful number, since it uses less digits than its factorization.

213011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40372 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213011040 is about 14594.8977385934. The cubic root of 213011040 is about 597.2195797860.

Adding to 213011040 its reverse (40110312), we get a palindrome (253121352).

The spelling of 213011040 in words is "two hundred thirteen million, eleven thousand, forty".