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131003032129 is a prime number
BaseRepresentation
bin111101000000001100…
…0111010001001000001
3110112010211022120000221
41322000120322021001
54121243234012004
6140103145343041
712315243254164
oct1720030721101
9415124276027
10131003032129
1150615884002
1221480797a81
13c479933b78
1464aa7a5adb
15361ae43354
hex1e8063a241

131003032129 has 2 divisors, whose sum is σ = 131003032130. Its totient is φ = 131003032128.

The previous prime is 131003032081. The next prime is 131003032133. The reversal of 131003032129 is 921230300131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99381301504 + 31621730625 = 315248^2 + 177825^2 .

It is an emirp because it is prime and its reverse (921230300131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131003032129 is a prime.

It is not a weakly prime, because it can be changed into another prime (131003032729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501516064 + 65501516065.

It is an arithmetic number, because the mean of its divisors is an integer number (65501516065).

Almost surely, 2131003032129 is an apocalyptic number.

It is an amenable number.

131003032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131003032129 is an equidigital number, since it uses as much as digits as its factorization.

131003032129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 131003032129 in words is "one hundred thirty-one billion, three million, thirty-two thousand, one hundred twenty-nine".