4131412141313 has 2 divisors, whose sum is σ = 4131412141314. Its totient is φ = 4131412141312.

The previous prime is 4131412141279. The next prime is 4131412141321. The reversal of 4131412141313 is 3131412141314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3715113616369 + 416298524944 = 1927463^2 + 645212^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131412141313 - 2⁶ = 4131412141249 is a prime.

It is not a weakly prime, because it can be changed into another prime (4131412141333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065706070656 + 2065706070657.

It is an arithmetic number, because the mean of its divisors is an integer number (2065706070657).

Almost surely, 2^{4131412141313} is an apocalyptic number.

It is an amenable number.

4131412141313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131412141313 is an equidigital number, since it uses as much as digits as its factorization.

4131412141313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 29.

Adding to 4131412141313 its reverse (3131412141314), we get a palindrome (7262824282627).

Subtracting from 4131412141313 its reverse (3131412141314), we obtain a palindrome (999999999999).

The spelling of 4131412141313 in words is "four trillion, one hundred thirty-one billion, four hundred twelve million, one hundred forty-one thousand, three hundred thirteen".