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131000032345001 is a prime number
BaseRepresentation
bin11101110010010011010010…
…011001001011101110101001
3122011211110222111022000020212
4131302103102121023232221
5114132301031240020001
61142340330053430505
736410303631324011
oct3562232231135651
9564743874260225
10131000032345001
1138816890105426
121283882593b435
135813333467181
14244c614a24c41
151022928a9d7bb
hex7724d264bba9

131000032345001 has 2 divisors, whose sum is σ = 131000032345002. Its totient is φ = 131000032345000.

The previous prime is 131000032344983. The next prime is 131000032345019. The reversal of 131000032345001 is 100543230000131.

It is a balanced prime because it is at equal distance from previous prime (131000032344983) and next prime (131000032345019).

It can be written as a sum of positive squares in only one way, i.e., 111681546066601 + 19318486278400 = 10567949^2 + 4395280^2 .

It is a cyclic number.

It is not a de Polignac number, because 131000032345001 - 222 = 131000028150697 is a prime.

It is a super-2 number, since 2×1310000323450012 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131000032345051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500016172500 + 65500016172501.

It is an arithmetic number, because the mean of its divisors is an integer number (65500016172501).

Almost surely, 2131000032345001 is an apocalyptic number.

It is an amenable number.

131000032345001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000032345001 is an equidigital number, since it uses as much as digits as its factorization.

131000032345001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 131000032345001 its reverse (100543230000131), we get a palindrome (231543262345132).

The spelling of 131000032345001 in words is "one hundred thirty-one trillion, thirty-two million, three hundred forty-five thousand, one".