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31321011313 is a prime number
BaseRepresentation
bin11101001010111000…
…001011010001110001
32222211211000020020001
4131022320023101301
51003121134330223
622215541550001
72156110126534
oct351270132161
988754006201
1031321011313
1112312992419
1260a1415301
132c51c788b7
141731a78a1b
15c34ab99ad
hex74ae0b471

31321011313 has 2 divisors, whose sum is σ = 31321011314. Its totient is φ = 31321011312.

The previous prime is 31321011307. The next prime is 31321011349. The reversal of 31321011313 is 31311012313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29545484544 + 1775526769 = 171888^2 + 42137^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321011313 - 221 = 31318914161 is a prime.

It is not a weakly prime, because it can be changed into another prime (31321011613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660505656 + 15660505657.

It is an arithmetic number, because the mean of its divisors is an integer number (15660505657).

Almost surely, 231321011313 is an apocalyptic number.

It is an amenable number.

31321011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321011313 is an equidigital number, since it uses as much as digits as its factorization.

31321011313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31321011313 its reverse (31311012313), we get a palindrome (62632023626).

The spelling of 31321011313 in words is "thirty-one billion, three hundred twenty-one million, eleven thousand, three hundred thirteen".