133078310401 has 9 divisors (see below), whose sum is σ = 135656306499. Its totient is φ = 130548429336.

The previous prime is 133078310383. The next prime is 133078310429. The reversal of 133078310401 is 104013870331.

The square root of 133078310401 is 364799.

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

It can be written as a sum of positive squares in only one way, i.e., 95935770225 + 37142540176 = 309735^2 + 192724^2 .

It is not a de Polignac number, because 133078310401 - 2¹¹ = 133078308353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133078310461) 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, 19330906 + ... + 19337788.

Almost surely, 2^133078310401 is an apocalyptic number.

133078310401 is the 364799-th square number.

133078310401 is the 182400-th centered octagonal number.

It is an amenable number.

133078310401 is a deficient number, since it is larger than the sum of its proper divisors (2577996098).

133078310401 is an frugal number, since it uses more digits than its factorization.

133078310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 133078310401 in words is "one hundred thirty-three billion, seventy-eight million, three hundred ten thousand, four hundred one".