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131330031200009 is a prime number
BaseRepresentation
bin11101110111000110100111…
…110110111010011100001001
3122020000000202200100202201222
4131313012213312322130021
5114203202400441400014
61143152103342251425
736443165413316135
oct3567064766723411
9566000680322658
10131330031200009
1138933831933484
1212890781886b75
1358384a4349955
14246059bd943c5
15102b2dec0c08e
hex7771a7dba709

131330031200009 has 2 divisors, whose sum is σ = 131330031200010. Its totient is φ = 131330031200008.

The previous prime is 131330031199979. The next prime is 131330031200047. The reversal of 131330031200009 is 900002130033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119473578577609 + 11856452622400 = 10930397^2 + 3443320^2 .

It is a cyclic number.

It is not a de Polignac number, because 131330031200009 - 220 = 131330030151433 is a prime.

It is not a weakly prime, because it can be changed into another prime (131330031200309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665015600004 + 65665015600005.

It is an arithmetic number, because the mean of its divisors is an integer number (65665015600005).

Almost surely, 2131330031200009 is an apocalyptic number.

It is an amenable number.

131330031200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131330031200009 is an equidigital number, since it uses as much as digits as its factorization.

131330031200009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 131330031200009 in words is "one hundred thirty-one trillion, three hundred thirty billion, thirty-one million, two hundred thousand, nine".