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1301113200133 is a prime number
BaseRepresentation
bin10010111011110000011…
…000111101111000000101
311121101101211000212201201
4102323300120331320011
5132304134434401013
62433420111222501
7163000540502665
oct22736030757005
94541354025651
101301113200133
114618875329aa
121901b8217a31
139590491a446
1446d8d3621a5
1523ca1a173dd
hex12ef063de05

1301113200133 has 2 divisors, whose sum is σ = 1301113200134. Its totient is φ = 1301113200132.

The previous prime is 1301113200083. The next prime is 1301113200137. The reversal of 1301113200133 is 3310023111031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1294038203364 + 7074996769 = 1137558^2 + 84113^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301113200133 - 29 = 1301113199621 is a prime.

It is a super-2 number, since 2×13011132001332 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1301113200133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1301113200137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650556600066 + 650556600067.

It is an arithmetic number, because the mean of its divisors is an integer number (650556600067).

Almost surely, 21301113200133 is an apocalyptic number.

It is an amenable number.

1301113200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301113200133 is an equidigital number, since it uses as much as digits as its factorization.

1301113200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1301113200133 its reverse (3310023111031), we get a palindrome (4611136311164).

The spelling of 1301113200133 in words is "one trillion, three hundred one billion, one hundred thirteen million, two hundred thousand, one hundred thirty-three".