211313101200 has 120 divisors (see below), whose sum is σ = 688003363776. Its totient is φ = 55426368000.

The previous prime is 211313101187. The next prime is 211313101201. The reversal of 211313101200 is 2101313112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211313101200² (a number of 23 digits) contains 22 as substring.

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 211313101200.

It is not an unprimeable number, because it can be changed into a prime (211313101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370196 + ... + 1516595.

Almost surely, 2^211313101200 is an apocalyptic number.

211313101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313101200 is an abundant number, since it is smaller than the sum of its proper divisors (476690262576).

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

211313101200 is a wasteful number, since it uses less digits than its factorization.

211313101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886873 (or 2886862 counting only the distinct ones).

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

Adding to 211313101200 its reverse (2101313112), we get a palindrome (213414414312).

The spelling of 211313101200 in words is "two hundred eleven billion, three hundred thirteen million, one hundred one thousand, two hundred".