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42132120313 is a prime number
BaseRepresentation
bin100111001111010001…
…010010001011111001
311000202021000110201111
4213033101102023321
51142241310322223
631204421320321
73021034054003
oct471721221371
9130667013644
1042132120313
1116960535648
1281b9b660a1
133c85a0850a
142079819373
151168c9630d
hex9cf4522f9

42132120313 has 2 divisors, whose sum is σ = 42132120314. Its totient is φ = 42132120312.

The previous prime is 42132120301. The next prime is 42132120319. The reversal of 42132120313 is 31302123124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21747990784 + 20384129529 = 147472^2 + 142773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42132120313 is a prime.

It is not a weakly prime, because it can be changed into another prime (42132120319) 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, 21066060156 + 21066060157.

It is an arithmetic number, because the mean of its divisors is an integer number (21066060157).

Almost surely, 242132120313 is an apocalyptic number.

It is an amenable number.

42132120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

42132120313 is an equidigital number, since it uses as much as digits as its factorization.

42132120313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 42132120313 its reverse (31302123124), we get a palindrome (73434243437).

The spelling of 42132120313 in words is "forty-two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred thirteen".