7138123640513 has 2 divisors, whose sum is σ = 7138123640514. Its totient is φ = 7138123640512.

The previous prime is 7138123640449. The next prime is 7138123640569. The reversal of 7138123640513 is 3150463218317.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6612241959184 + 525881681329 = 2571428^2 + 725177^2 .

It is a cyclic number.

It is not a de Polignac number, because 7138123640513 - 2⁶ = 7138123640449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7138123649513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3569061820256 + 3569061820257.

It is an arithmetic number, because the mean of its divisors is an integer number (3569061820257).

Almost surely, 2^{7138123640513} is an apocalyptic number.

It is an amenable number.

7138123640513 is a deficient number, since it is larger than the sum of its proper divisors (1).

7138123640513 is an equidigital number, since it uses as much as digits as its factorization.

7138123640513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 7138123640513 in words is "seven trillion, one hundred thirty-eight billion, one hundred twenty-three million, six hundred forty thousand, five hundred thirteen".