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131322202001 is a prime number
BaseRepresentation
bin111101001001101101…
…0011100011110010001
3110112222001220001210022
41322103122130132101
54122421440431001
6140154550313225
712326200204454
oct1722332343621
9415861801708
10131322202001
1150769a61061
122154b658815
13c4caab4293
1464dad2949b
153638e8c11b
hex1e9369c791

131322202001 has 2 divisors, whose sum is σ = 131322202002. Its totient is φ = 131322202000.

The previous prime is 131322201949. The next prime is 131322202013. The reversal of 131322202001 is 100202223131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78341211025 + 52980990976 = 279895^2 + 230176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131322202001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131322202031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661101000 + 65661101001.

It is an arithmetic number, because the mean of its divisors is an integer number (65661101001).

Almost surely, 2131322202001 is an apocalyptic number.

It is an amenable number.

131322202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322202001 is an equidigital number, since it uses as much as digits as its factorization.

131322202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 131322202001 its reverse (100202223131), we get a palindrome (231524425132).

The spelling of 131322202001 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred two thousand, one".