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133001103313 = 132786988777
BaseRepresentation
bin111101111011101111…
…0111100011111010001
3110201022002001002102101
41323313132330133101
54134341240301223
6141033323120401
712415614503461
oct1736736743721
9421262032371
10133001103313
1151450723501
1221939973101
13c707884300
146619cbbba1
1536d65744ad
hex1ef77bc7d1

133001103313 has 6 divisors (see below), whose sum is σ = 144018946374. Its totient is φ = 122770249056.

The previous prime is 133001103293. The next prime is 133001103317. The reversal of 133001103313 is 313301100331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18869967424 + 114131135889 = 137368^2 + 337833^2 .

It is a de Polignac number, because none of the positive numbers 2k-133001103313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133001103317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393494220 + ... + 393494557.

It is an arithmetic number, because the mean of its divisors is an integer number (24003157729).

Almost surely, 2133001103313 is an apocalyptic number.

133001103313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133001103313 is a deficient number, since it is larger than the sum of its proper divisors (11017843061).

133001103313 is an equidigital number, since it uses as much as digits as its factorization.

133001103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786988803 (or 786988790 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133001103313 its reverse (313301100331), we get a palindrome (446302203644).

The spelling of 133001103313 in words is "one hundred thirty-three billion, one million, one hundred three thousand, three hundred thirteen".

Divisors: 1 13 169 786988777 10230854101 133001103313