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20313323131217 is a prime number
BaseRepresentation
bin1001001111001100100000…
…11010001101000101010001
32122220221020102012201120012
410213212100122031011101
510130303141210144332
6111111451204124305
74164406040501354
oct447462032150521
978827212181505
1020313323131217
116521917381a86
122340a36996695
13b446cc42082c
14503254a0029b
152535e20243b2
hex12799068d151

20313323131217 has 2 divisors, whose sum is σ = 20313323131218. Its totient is φ = 20313323131216.

The previous prime is 20313323131183. The next prime is 20313323131223. The reversal of 20313323131217 is 71213132331302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19974454779841 + 338868351376 = 4469279^2 + 582124^2 .

It is a cyclic number.

It is not a de Polignac number, because 20313323131217 - 234 = 20296143262033 is a prime.

It is not a weakly prime, because it can be changed into another prime (20313323134217) 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, 10156661565608 + 10156661565609.

It is an arithmetic number, because the mean of its divisors is an integer number (10156661565609).

Almost surely, 220313323131217 is an apocalyptic number.

It is an amenable number.

20313323131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20313323131217 is an equidigital number, since it uses as much as digits as its factorization.

20313323131217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 20313323131217 its reverse (71213132331302), we get a palindrome (91526455462519).

The spelling of 20313323131217 in words is "twenty trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred seventeen".