132810505257001 has 16 divisors (see below), whose sum is σ = 161409439719360. Its totient is φ = 107606293139520.

The previous prime is 132810505256983. The next prime is 132810505257011. The reversal of 132810505257001 is 100752505018231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132810505257001 - 2¹³ = 132810505248809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132810505257011) 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, 16012837095 + ... + 16012845388.

It is an arithmetic number, because the mean of its divisors is an integer number (10088089982460).

Almost surely, 2^{132810505257001} is an apocalyptic number.

132810505257001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132810505257001 is a deficient number, since it is larger than the sum of its proper divisors (28598934462359).

132810505257001 is a wasteful number, since it uses less digits than its factorization.

132810505257001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32025682536.

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 132810505257001 in words is "one hundred thirty-two trillion, eight hundred ten billion, five hundred five million, two hundred fifty-seven thousand, one".