38631013121 has 2 divisors, whose sum is σ = 38631013122. Its totient is φ = 38631013120.

The previous prime is 38631013097. The next prime is 38631013139. The reversal of 38631013121 is 12131013683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38616573121 + 14440000 = 196511^2 + 3800^2 .

It is an emirp because it is prime and its reverse (12131013683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38631013121 - 2²² = 38626818817 is a prime.

It is not a weakly prime, because it can be changed into another prime (38631013171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19315506560 + 19315506561.

It is an arithmetic number, because the mean of its divisors is an integer number (19315506561).

Almost surely, 2^38631013121 is an apocalyptic number.

It is an amenable number.

38631013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

38631013121 is an equidigital number, since it uses as much as digits as its factorization.

38631013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 38631013121 in words is "thirty-eight billion, six hundred thirty-one million, thirteen thousand, one hundred twenty-one".