131464001 has 2 divisors, whose sum is σ = 131464002. Its totient is φ = 131464000.

The previous prime is 131463973. The next prime is 131464007. The reversal of 131464001 is 100464131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131079601 + 384400 = 11449^2 + 620^2 .

It is an emirp because it is prime and its reverse (100464131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131464001 - 2²² = 127269697 is a prime.

It is not a weakly prime, because it can be changed into another prime (131464007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65732000 + 65732001.

It is an arithmetic number, because the mean of its divisors is an integer number (65732001).

Almost surely, 2^131464001 is an apocalyptic number.

It is an amenable number.

131464001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131464001 is an equidigital number, since it uses as much as digits as its factorization.

131464001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131464001 is about 11465.7752027501. The cubic root of 131464001 is about 508.4742313957.

The spelling of 131464001 in words is "one hundred thirty-one million, four hundred sixty-four thousand, one".