3138975576013 has 2 divisors, whose sum is σ = 3138975576014. Its totient is φ = 3138975576012.

The previous prime is 3138975575861. The next prime is 3138975576041. The reversal of 3138975576013 is 3106755798313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2677680595044 + 461294980969 = 1636362^2 + 679187^2 .

It is a cyclic number.

It is not a de Polignac number, because 3138975576013 - 2¹³ = 3138975567821 is a prime.

It is a super-2 number, since 2×3138975576013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3138975574013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1569487788006 + 1569487788007.

It is an arithmetic number, because the mean of its divisors is an integer number (1569487788007).

Almost surely, 2^{3138975576013} is an apocalyptic number.

It is an amenable number.

3138975576013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3138975576013 is an equidigital number, since it uses as much as digits as its factorization.

3138975576013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 3138975576013 in words is "three trillion, one hundred thirty-eight billion, nine hundred seventy-five million, five hundred seventy-six thousand, thirteen".