130146458213413 has 2 divisors, whose sum is σ = 130146458213414. Its totient is φ = 130146458213412.

The previous prime is 130146458213323. The next prime is 130146458213489. The reversal of 130146458213413 is 314312854641031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125896523411044 + 4249934802369 = 11220362^2 + 2061537^2 .

It is a cyclic number.

It is not a de Polignac number, because 130146458213413 - 2²⁵ = 130146424658981 is a prime.

It is a super-2 number, since 2×130146458213413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130146458213113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65073229106706 + 65073229106707.

It is an arithmetic number, because the mean of its divisors is an integer number (65073229106707).

Almost surely, 2^{130146458213413} is an apocalyptic number.

It is an amenable number.

130146458213413 is a deficient number, since it is larger than the sum of its proper divisors (1).

130146458213413 is an equidigital number, since it uses as much as digits as its factorization.

130146458213413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 130146458213413 in words is "one hundred thirty trillion, one hundred forty-six billion, four hundred fifty-eight million, two hundred thirteen thousand, four hundred thirteen".