131343264001 has 8 divisors (see below), whose sum is σ = 143864833320. Its totient is φ = 119354527488.

The previous prime is 131343263969. The next prime is 131343264007. The reversal of 131343264001 is 100462343131.

It can be written as a sum of positive squares in 4 ways, for example, as 22229319025 + 109113944976 = 149095^2 + 330324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131343264001 - 2⁵ = 131343263969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131343264007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133207686 + ... + 133208671.

It is an arithmetic number, because the mean of its divisors is an integer number (17983104165).

Almost surely, 2^131343264001 is an apocalyptic number.

It is an amenable number.

131343264001 is a deficient number, since it is larger than the sum of its proper divisors (12521569319).

131343264001 is a wasteful number, since it uses less digits than its factorization.

131343264001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266416403.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 131343264001 in words is "one hundred thirty-one billion, three hundred forty-three million, two hundred sixty-four thousand, one".