31201200210213 has 12 divisors (see below), whose sum is σ = 49165527604128. Its totient is φ = 18909818309160.

The previous prime is 31201200210161. The next prime is 31201200210221.

31201200210213 is a `hidden beast` number, since 3 + 120 + 120 + 0 + 210 + 213 = 666.

31201200210213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31201200210213 - 2¹⁸ = 31201199948069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201200210113) by changing a digit.

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, 157581819145 + ... + 157581819342.

It is an arithmetic number, because the mean of its divisors is an integer number (4097127300344).

Almost surely, 2^{31201200210213} is an apocalyptic number.

31201200210213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31201200210213 is a deficient number, since it is larger than the sum of its proper divisors (17964327393915).

31201200210213 is a wasteful number, since it uses less digits than its factorization.

31201200210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315163638504 (or 315163638501 counting only the distinct ones).

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

It can be divided in two parts, 31201200 and 210213, that added together give a palindrome (31411413).

The spelling of 31201200210213 in words is "thirty-one trillion, two hundred one billion, two hundred million, two hundred ten thousand, two hundred thirteen".