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132120013 is a prime number
BaseRepresentation
bin1111101111111…
…11110111001101
3100012121101120211
413313333313031
5232310320023
621035442421
73163000354
oct767776715
9305541524
10132120013
116863a7a3
12382b6411
13214ab72c
141379299b
15b8eba0d
hex7dffdcd

132120013 has 2 divisors, whose sum is σ = 132120014. Its totient is φ = 132120012.

The previous prime is 132120011. The next prime is 132120029. The reversal of 132120013 is 310021231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127531849 + 4588164 = 11293^2 + 2142^2 .

It is a cyclic number.

It is not a de Polignac number, because 132120013 - 21 = 132120011 is a prime.

Together with 132120011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 132119975 and 132120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132120011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66060006 + 66060007.

It is an arithmetic number, because the mean of its divisors is an integer number (66060007).

Almost surely, 2132120013 is an apocalyptic number.

It is an amenable number.

132120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

132120013 is an equidigital number, since it uses as much as digits as its factorization.

132120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132120013 is about 11494.3470018962. The cubic root of 132120013 is about 509.3185991625.

Adding to 132120013 its reverse (310021231), we get a palindrome (442141244).

The spelling of 132120013 in words is "one hundred thirty-two million, one hundred twenty thousand, thirteen".