213130211301 has 72 divisors (see below), whose sum is σ = 381952036440. Its totient is φ = 113787426816.

The previous prime is 213130211257. The next prime is 213130211311. The reversal of 213130211301 is 103112031312.

213130211301 is a `hidden beast` number, since 21 + 3 + 130 + 211 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136697315076 + 76432896225 = 369726^2 + 276465^2 .

It is not a de Polignac number, because 213130211301 - 2⁶ = 213130211237 is a prime.

It is a super-2 number, since 2×213130211301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130211311) 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, 923335 + ... + 1130843.

It is an arithmetic number, because the mean of its divisors is an integer number (5304889395).

Almost surely, 2^213130211301 is an apocalyptic number.

213130211301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213130211301 is a deficient number, since it is larger than the sum of its proper divisors (168821825139).

213130211301 is a wasteful number, since it uses less digits than its factorization.

213130211301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207683 (or 207673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213130211301 its reverse (103112031312), we get a palindrome (316242242613).

The spelling of 213130211301 in words is "two hundred thirteen billion, one hundred thirty million, two hundred eleven thousand, three hundred one".