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32002131012113 is a prime number
BaseRepresentation
bin1110100011011000100111…
…01001101010101000010001
311012022101002112102020111202
413101230103221222220101
513143310331014341423
6152021324231120545
76512035432243463
oct721542351525021
9135271075366452
1032002131012113
11a219033731879
12370a288b13155
1314b1a3232c022
147c8ca8c7a133
153a76aede7728
hex1d1b13a6aa11

32002131012113 has 2 divisors, whose sum is σ = 32002131012114. Its totient is φ = 32002131012112.

The previous prime is 32002131012109. The next prime is 32002131012149. The reversal of 32002131012113 is 31121013120023.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28409411682304 + 3592719329809 = 5330048^2 + 1895447^2 .

It is a cyclic number.

It is not a de Polignac number, because 32002131012113 - 22 = 32002131012109 is a prime.

It is not a weakly prime, because it can be changed into another prime (32002131002113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16001065506056 + 16001065506057.

It is an arithmetic number, because the mean of its divisors is an integer number (16001065506057).

Almost surely, 232002131012113 is an apocalyptic number.

It is an amenable number.

32002131012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

32002131012113 is an equidigital number, since it uses as much as digits as its factorization.

32002131012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32002131012113 its reverse (31121013120023), we get a palindrome (63123144132136).

The spelling of 32002131012113 in words is "thirty-two trillion, two billion, one hundred thirty-one million, twelve thousand, one hundred thirteen".