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32131122013 is a prime number
BaseRepresentation
bin11101111011001010…
…100000001101011101
310001221021101010012001
4131323022200031131
51011301031401023
622432201242301
72215145013364
oct357312401535
9101837333161
1032131122013
11126991a95a1
126288793391
133050a5b843
1417ab4b67db
15c80c8c6ad
hex77b2a035d

32131122013 has 2 divisors, whose sum is σ = 32131122014. Its totient is φ = 32131122012.

The previous prime is 32131121951. The next prime is 32131122019. The reversal of 32131122013 is 31022113123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27046433764 + 5084688249 = 164458^2 + 71307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32131122013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32131122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16065561006 + 16065561007.

It is an arithmetic number, because the mean of its divisors is an integer number (16065561007).

Almost surely, 232131122013 is an apocalyptic number.

It is an amenable number.

32131122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32131122013 is an equidigital number, since it uses as much as digits as its factorization.

32131122013 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 19.

Adding to 32131122013 its reverse (31022113123), we get a palindrome (63153235136).

The spelling of 32131122013 in words is "thirty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, thirteen".