1328138697601 has 9 divisors (see below), whose sum is σ = 1337923763553. Its totient is φ = 1318424704980.

The previous prime is 1328138697581. The next prime is 1328138697653. The reversal of 1328138697601 is 1067968318231.

The square root of 1328138697601 is 1152449.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1328138697601 - 2³³ = 1319548763009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328138691601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160186266 + ... + 160194556.

Almost surely, 2^{1328138697601} is an apocalyptic number.

1328138697601 is the 1152449-th square number.

1328138697601 is the 576225-th centered octagonal number.

It is an amenable number.

1328138697601 is a deficient number, since it is larger than the sum of its proper divisors (9785065952).

1328138697601 is an frugal number, since it uses more digits than its factorization.

1328138697601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 1328138697601 in words is "one trillion, three hundred twenty-eight billion, one hundred thirty-eight million, six hundred ninety-seven thousand, six hundred one".