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20001301213 is a prime number
BaseRepresentation
bin10010101000001010…
…111010001011011101
31220121220222101011211
4102220022322023131
5311430313114323
613104413144421
71305436153345
oct225012721335
956556871154
1020001301213
118534238703
123a6248b111
131b69a41c9a
14d7a543d25
157c0e2670d
hex4a82ba2dd

20001301213 has 2 divisors, whose sum is σ = 20001301214. Its totient is φ = 20001301212.

The previous prime is 20001301207. The next prime is 20001301219. The reversal of 20001301213 is 31210310002.

It is a balanced prime because it is at equal distance from previous prime (20001301207) and next prime (20001301219).

It can be written as a sum of positive squares in only one way, i.e., 19994525604 + 6775609 = 141402^2 + 2603^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001301213 - 25 = 20001301181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20001301193 and 20001301202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001301219) 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, 10000650606 + 10000650607.

It is an arithmetic number, because the mean of its divisors is an integer number (10000650607).

Almost surely, 220001301213 is an apocalyptic number.

It is an amenable number.

20001301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001301213 is an equidigital number, since it uses as much as digits as its factorization.

20001301213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20001301213 its reverse (31210310002), we get a palindrome (51211611215).

The spelling of 20001301213 in words is "twenty billion, one million, three hundred one thousand, two hundred thirteen".