414142212131 has 2 divisors, whose sum is σ = 414142212132. Its totient is φ = 414142212130.

The previous prime is 414142212109. The next prime is 414142212137. The reversal of 414142212131 is 131212241414.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414142212131 is a prime.

It is a super-2 number, since 2×414142212131² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414142212131.

It is not a weakly prime, because it can be changed into another prime (414142212137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207071106065 + 207071106066.

It is an arithmetic number, because the mean of its divisors is an integer number (207071106066).

Almost surely, 2^414142212131 is an apocalyptic number.

414142212131 is a deficient number, since it is larger than the sum of its proper divisors (1).

414142212131 is an equidigital number, since it uses as much as digits as its factorization.

414142212131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 26.

Adding to 414142212131 its reverse (131212241414), we get a palindrome (545354453545).

The spelling of 414142212131 in words is "four hundred fourteen billion, one hundred forty-two million, two hundred twelve thousand, one hundred thirty-one".