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322131013013 is a prime number
BaseRepresentation
bin1001011000000001000…
…00010010110110010101
31010210110212022222021202
410230000200102312111
520234211014404023
6403552425322245
732162464301225
oct4540040226625
91123425288252
10322131013013
111146846169a7
1252521036385
13244b8b62494
141183c468085
1585a556b128
hex4b00812d95

322131013013 has 2 divisors, whose sum is σ = 322131013014. Its totient is φ = 322131013012.

The previous prime is 322131012919. The next prime is 322131013111. The reversal of 322131013013 is 310310131223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251684829124 + 70446183889 = 501682^2 + 265417^2 .

It is a cyclic number.

It is not a de Polignac number, because 322131013013 - 224 = 322114235797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322131013613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161065506506 + 161065506507.

It is an arithmetic number, because the mean of its divisors is an integer number (161065506507).

Almost surely, 2322131013013 is an apocalyptic number.

It is an amenable number.

322131013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

322131013013 is an equidigital number, since it uses as much as digits as its factorization.

322131013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 322131013013 its reverse (310310131223), we get a palindrome (632441144236).

It can be divided in two parts, 3221310 and 13013, that added together give a palindrome (3234323).

The spelling of 322131013013 in words is "three hundred twenty-two billion, one hundred thirty-one million, thirteen thousand, thirteen".