213122203213131 has 48 divisors (see below), whose sum is σ = 338137293312000. Its totient is φ = 128750064575616.

The previous prime is 213122203213123. The next prime is 213122203213141. The reversal of 213122203213131 is 131312302221312.

213122203213131 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 2 + 20 + 321 + 313 + 1 = 666.

It is not a de Polignac number, because 213122203213131 - 2³ = 213122203213123 is a prime.

It is a super-2 number, since 2×213122203213131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213122203213095 and 213122203213104.

It is not an unprimeable number, because it can be changed into a prime (213122203213121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906018070 + ... + 906253268.

It is an arithmetic number, because the mean of its divisors is an integer number (7044526944000).

Almost surely, 2^{213122203213131} is an apocalyptic number.

213122203213131 is a deficient number, since it is larger than the sum of its proper divisors (125015090098869).

213122203213131 is a wasteful number, since it uses less digits than its factorization.

213122203213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465640 (or 465637 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213122203213131 its reverse (131312302221312), we get a palindrome (344434505434443).

The spelling of 213122203213131 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred three million, two hundred thirteen thousand, one hundred thirty-one".