211201313202 has 144 divisors (see below), whose sum is σ = 514696489632. Its totient is φ = 62048384640.

The previous prime is 211201313177. The next prime is 211201313209. The reversal of 211201313202 is 202313102112.

211201313202 is a `hidden beast` number, since 211 + 2 + 0 + 131 + 320 + 2 = 666.

211201313202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211201313209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 452250973 + ... + 452251439.

It is an arithmetic number, because the mean of its divisors is an integer number (3574281178).

Almost surely, 2^211201313202 is an apocalyptic number.

211201313202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257348244816).

211201313202 is an abundant number, since it is smaller than the sum of its proper divisors (303495176430).

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

211201313202 is a wasteful number, since it uses less digits than its factorization.

211201313202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211201313202 its reverse (202313102112), we get a palindrome (413514415314).

The spelling of 211201313202 in words is "two hundred eleven billion, two hundred one million, three hundred thirteen thousand, two hundred two".