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131220424001 is a prime number
BaseRepresentation
bin111101000110101011…
…0001100010101000001
3110112200222101012121202
41322031112030111001
54122214412032001
6140140513030545
712323523125552
oct1721526142501
9415628335552
10131220424001
1150717565807
1221521555455
13c4b299a404
1464cb5d4329
15363008596b
hex1e8d58c541

131220424001 has 2 divisors, whose sum is σ = 131220424002. Its totient is φ = 131220424000.

The previous prime is 131220423991. The next prime is 131220424079. The reversal of 131220424001 is 100424022131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125844015025 + 5376408976 = 354745^2 + 73324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131220424001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131220624001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65610212000 + 65610212001.

It is an arithmetic number, because the mean of its divisors is an integer number (65610212001).

Almost surely, 2131220424001 is an apocalyptic number.

It is an amenable number.

131220424001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131220424001 is an equidigital number, since it uses as much as digits as its factorization.

131220424001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131220424001 its reverse (100424022131), we get a palindrome (231644446132).

The spelling of 131220424001 in words is "one hundred thirty-one billion, two hundred twenty million, four hundred twenty-four thousand, one".