213011311200 has 72 divisors (see below), whose sum is σ = 693351825768. Its totient is φ = 56803015680.

The previous prime is 213011311199. The next prime is 213011311231. The reversal of 213011311200 is 2113110312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213011311200.

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 11 ways as a sum of consecutive naturals, for example, 44374957 + ... + 44379756.

It is an arithmetic number, because the mean of its divisors is an integer number (9629886469).

Almost surely, 2^213011311200 is an apocalyptic number.

213011311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213011311200 is an abundant number, since it is smaller than the sum of its proper divisors (480340514568).

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

213011311200 is a wasteful number, since it uses less digits than its factorization.

213011311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88754736 (or 88754723 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213011311200 its reverse (2113110312), we get a palindrome (215124421512).

The spelling of 213011311200 in words is "two hundred thirteen billion, eleven million, three hundred eleven thousand, two hundred".