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131002333223101 is a prime number
BaseRepresentation
bin11101110010010101011011…
…100010010101100010111101
3122011211200220211210201122021
4131302111123202111202331
5114132320234301114401
61142341350245320141
736410414640423304
oct3562253342254275
9564750824721567
10131002333223101
113881786097617a
1212839168406051
13581360c058bc2
14244c79244143b
151022a10a952a1
hex77255b8958bd

131002333223101 has 2 divisors, whose sum is σ = 131002333223102. Its totient is φ = 131002333223100.

The previous prime is 131002333222949. The next prime is 131002333223119. The reversal of 131002333223101 is 101322333200131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84900541794201 + 46101791428900 = 9214149^2 + 6789830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131002333223101 is a prime.

It is a super-3 number, since 3×1310023332231013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131002333229101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501166611550 + 65501166611551.

It is an arithmetic number, because the mean of its divisors is an integer number (65501166611551).

Almost surely, 2131002333223101 is an apocalyptic number.

It is an amenable number.

131002333223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131002333223101 is an equidigital number, since it uses as much as digits as its factorization.

131002333223101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131002333223101 its reverse (101322333200131), we get a palindrome (232324666423232).

The spelling of 131002333223101 in words is "one hundred thirty-one trillion, two billion, three hundred thirty-three million, two hundred twenty-three thousand, one hundred one".