138093806801 has 2 divisors, whose sum is σ = 138093806802. Its totient is φ = 138093806800.

The previous prime is 138093806749. The next prime is 138093806863. The reversal of 138093806801 is 108608390831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81853210000 + 56240596801 = 286100^2 + 237151^2 .

It is an emirp because it is prime and its reverse (108608390831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-138093806801 is a prime.

It is not a weakly prime, because it can be changed into another prime (138093706801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69046903400 + 69046903401.

It is an arithmetic number, because the mean of its divisors is an integer number (69046903401).

Almost surely, 2^138093806801 is an apocalyptic number.

It is an amenable number.

138093806801 is a deficient number, since it is larger than the sum of its proper divisors (1).

138093806801 is an equidigital number, since it uses as much as digits as its factorization.

138093806801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 138093806801 in words is "one hundred thirty-eight billion, ninety-three million, eight hundred six thousand, eight hundred one".