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131220021953 is a prime number
BaseRepresentation
bin111101000110101010…
…0101010001011000001
3110112200221121210010002
41322031110222023001
54122214311200303
6140140500245345
712323516532446
oct1721524521301
9415627553102
10131220021953
1150717310739
12215213a0855
13c4b2889407
1464cb52b9cd
153630006788
hex1e8d52a2c1

131220021953 has 2 divisors, whose sum is σ = 131220021954. Its totient is φ = 131220021952.

The previous prime is 131220021929. The next prime is 131220022013. The reversal of 131220021953 is 359120022131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114739367824 + 16480654129 = 338732^2 + 128377^2 .

It is a cyclic number.

It is not a de Polignac number, because 131220021953 - 218 = 131219759809 is a prime.

It is a super-2 number, since 2×1312200219532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131220026953) 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, 65610010976 + 65610010977.

It is an arithmetic number, because the mean of its divisors is an integer number (65610010977).

Almost surely, 2131220021953 is an apocalyptic number.

It is an amenable number.

131220021953 is a deficient number, since it is larger than the sum of its proper divisors (1).

131220021953 is an equidigital number, since it uses as much as digits as its factorization.

131220021953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 131220021953 in words is "one hundred thirty-one billion, two hundred twenty million, twenty-one thousand, nine hundred fifty-three".