212413031302131 has 48 divisors (see below), whose sum is σ = 354454304151168. Its totient is φ = 121144068115200.

The previous prime is 212413031302049. The next prime is 212413031302243. The reversal of 212413031302131 is 131203130314212.

212413031302131 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 130 + 313 + 0 + 213 + 1 = 666.

It is not a de Polignac number, because 212413031302131 - 2¹⁴ = 212413031285747 is a prime.

It is a super-2 number, since 2×212413031302131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212413031302095 and 212413031302104.

It is not an unprimeable number, because it can be changed into a prime (212413031302631) 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, 1455360 + ... + 20662626.

It is an arithmetic number, because the mean of its divisors is an integer number (7384464669816).

Almost surely, 2^{212413031302131} is an apocalyptic number.

212413031302131 is a deficient number, since it is larger than the sum of its proper divisors (142041272849037).

212413031302131 is a wasteful number, since it uses less digits than its factorization.

212413031302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19213872 (or 19213869 counting only the distinct ones).

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

Adding to 212413031302131 its reverse (131203130314212), we get a palindrome (343616161616343).

The spelling of 212413031302131 in words is "two hundred twelve trillion, four hundred thirteen billion, thirty-one million, three hundred two thousand, one hundred thirty-one".