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131021444431333 is a prime number
BaseRepresentation
bin11101110010100111001110…
…101001110011110111100101
3122011220112020201220200210101
4131302213032221303313211
5114133123404233300313
61142354230505024101
736411662351132461
oct3562471651636745
9564815221820711
10131021444431333
1138824978728845
1212840a00785031
135815366562941
14244d6866874a1
15102327d79a5dd
hex7729cea73de5

131021444431333 has 2 divisors, whose sum is σ = 131021444431334. Its totient is φ = 131021444431332.

The previous prime is 131021444431259. The next prime is 131021444431439. The reversal of 131021444431333 is 333134444120131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126455265224289 + 4566179207044 = 11245233^2 + 2136862^2 .

It is a cyclic number.

It is not a de Polignac number, because 131021444431333 - 241 = 128822421175781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131021444431292 and 131021444431301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131021444231333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510722215666 + 65510722215667.

It is an arithmetic number, because the mean of its divisors is an integer number (65510722215667).

Almost surely, 2131021444431333 is an apocalyptic number.

It is an amenable number.

131021444431333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131021444431333 is an equidigital number, since it uses as much as digits as its factorization.

131021444431333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 131021444431333 its reverse (333134444120131), we get a palindrome (464155888551464).

The spelling of 131021444431333 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-one thousand, three hundred thirty-three".