138081338401 has 2 divisors, whose sum is σ = 138081338402. Its totient is φ = 138081338400.

The previous prime is 138081338347. The next prime is 138081338429. The reversal of 138081338401 is 104833180831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85834350625 + 52246987776 = 292975^2 + 228576^2 .

It is a cyclic number.

It is not a de Polignac number, because 138081338401 - 2¹³ = 138081330209 is a prime.

It is a super-2 number, since 2×138081338401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (138081338491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69040669200 + 69040669201.

It is an arithmetic number, because the mean of its divisors is an integer number (69040669201).

Almost surely, 2^138081338401 is an apocalyptic number.

It is an amenable number.

138081338401 is a deficient number, since it is larger than the sum of its proper divisors (1).

138081338401 is an equidigital number, since it uses as much as digits as its factorization.

138081338401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 138081338401 in words is "one hundred thirty-eight billion, eighty-one million, three hundred thirty-eight thousand, four hundred one".