211013213200 has 60 divisors (see below), whose sum is σ = 507118027860. Its totient is φ = 84378849280.

The previous prime is 211013213189. The next prime is 211013213207. The reversal of 211013213200 is 2312310112.

It can be written as a sum of positive squares in 6 ways, for example, as 3481944064 + 207531269136 = 59008^2 + 455556^2 .

It is a super-2 number, since 2×211013213200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211013213207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221816 + ... + 1383784.

It is an arithmetic number, because the mean of its divisors is an integer number (8451967131).

Almost surely, 2^211013213200 is an apocalyptic number.

211013213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211013213200 is an abundant number, since it is smaller than the sum of its proper divisors (296104814660).

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

211013213200 is a wasteful number, since it uses less digits than its factorization.

211013213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165244 (or 165233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211013213200 its reverse (2312310112), we get a palindrome (213325523312).

The spelling of 211013213200 in words is "two hundred eleven billion, thirteen million, two hundred thirteen thousand, two hundred".