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10001303130101 is a prime number
BaseRepresentation
bin1001000110001001110000…
…0111101100111111110101
31022102010010000022010021012
42101202130013230333311
52302330132100130401
633134311335402005
72051366420642363
oct221423407547765
938363100263235
1010001303130101
11320658a979a48
1211563a0223305
1357717111b11a
142680cc226633
151252545508bb
hex9189c1ecff5

10001303130101 has 2 divisors, whose sum is σ = 10001303130102. Its totient is φ = 10001303130100.

The previous prime is 10001303130089. The next prime is 10001303130179. The reversal of 10001303130101 is 10103130310001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8781449149201 + 1219853980900 = 2963351^2 + 1104470^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001303130101 - 214 = 10001303113717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001303130191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000651565050 + 5000651565051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000651565051).

Almost surely, 210001303130101 is an apocalyptic number.

It is an amenable number.

10001303130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001303130101 is an equidigital number, since it uses as much as digits as its factorization.

10001303130101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10001303130101 its reverse (10103130310001), we get a palindrome (20104433440102).

The spelling of 10001303130101 in words is "ten trillion, one billion, three hundred three million, one hundred thirty thousand, one hundred one".