1338507745101 has 12 divisors (see below), whose sum is σ = 1938270106812. Its totient is φ = 890090790336.

The previous prime is 1338507745073. The next prime is 1338507745177. The reversal of 1338507745101 is 1015477058331.

1338507745101 is a `hidden beast` number, since 1 + 3 + 38 + 507 + 7 + 4 + 5 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 902975062500 + 435532682601 = 950250^2 + 659949^2 .

It is not a de Polignac number, because 1338507745101 - 2²¹ = 1338505647949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338507741101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187305096 + ... + 187312241.

It is an arithmetic number, because the mean of its divisors is an integer number (161522508901).

Almost surely, 2^{1338507745101} is an apocalyptic number.

It is an amenable number.

1338507745101 is a deficient number, since it is larger than the sum of its proper divisors (599762361711).

1338507745101 is a wasteful number, since it uses less digits than its factorization.

1338507745101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374617740 (or 374617737 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1338507745101 in words is "one trillion, three hundred thirty-eight billion, five hundred seven million, seven hundred forty-five thousand, one hundred one".