213355014240 has 96 divisors (see below), whose sum is σ = 676903530240. Its totient is φ = 56485338624.

The previous prime is 213355014233. The next prime is 213355014247. The reversal of 213355014240 is 42410553312.

It is an interprime number because it is at equal distance from previous prime (213355014233) and next prime (213355014247).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 213355014198 and 213355014207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213355014247) 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 15 ways as a sum of consecutive naturals, for example, 1532164 + ... + 1665603.

It is an arithmetic number, because the mean of its divisors is an integer number (7051078440).

Almost surely, 2^213355014240 is an apocalyptic number.

213355014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213355014240 is an abundant number, since it is smaller than the sum of its proper divisors (463548516000).

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

213355014240 is a wasteful number, since it uses less digits than its factorization.

213355014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197924 (or 3197916 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 213355014240 its reverse (42410553312), we get a palindrome (255765567552).

The spelling of 213355014240 in words is "two hundred thirteen billion, three hundred fifty-five million, fourteen thousand, two hundred forty".