130706401 has 16 divisors (see below), whose sum is σ = 159683328. Its totient is φ = 104544000.

The previous prime is 130706383. The next prime is 130706413. The reversal of 130706401 is 104607031.

It is a 3-Lehmer number, since φ(130706401) divides (130706401-1)³.

It is a cyclic number.

It is not a de Polignac number, because 130706401 - 2¹³ = 130698209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130706431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3300 + ... + 16501.

It is an arithmetic number, because the mean of its divisors is an integer number (9980208).

Almost surely, 2^130706401 is an apocalyptic number.

130706401 is the 6601-st octagonal number.

It is an amenable number.

130706401 is a deficient number, since it is larger than the sum of its proper divisors (28976927).

130706401 is a wasteful number, since it uses less digits than its factorization.

130706401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 130706401 is about 11432.6900159149. The cubic root of 130706401 is about 507.4956049673.

The spelling of 130706401 in words is "one hundred thirty million, seven hundred six thousand, four hundred one".