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13021301223313 = 17313932035953
BaseRepresentation
bin1011110101111100001000…
…0010001010111110010001
31201002211020212111210100021
42331133002002022332101
53201320111103121223
643405523031423441
72512520661122305
oct275370202127621
951084225453307
1013021301223313
114170337092089
121563747524b81
13735b98b08a76
1433033d069d05
15178aa978565d
hexbd7c208af91

13021301223313 has 32 divisors (see below), whose sum is σ = 13941190972800. Its totient is φ = 12161332482048.

The previous prime is 13021301223299. The next prime is 13021301223361. The reversal of 13021301223313 is 31332210312031.

13021301223313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13021301223313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13021301223013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187348145 + ... + 2187354097.

It is an arithmetic number, because the mean of its divisors is an integer number (435662217900).

Almost surely, 213021301223313 is an apocalyptic number.

It is an amenable number.

13021301223313 is a deficient number, since it is larger than the sum of its proper divisors (919889749487).

13021301223313 is an equidigital number, since it uses as much as digits as its factorization.

13021301223313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13021301223313 its reverse (31332210312031), we get a palindrome (44353511535344).

The spelling of 13021301223313 in words is "thirteen trillion, twenty-one billion, three hundred one million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 17 139 289 2363 3203 4913 5953 40171 54451 101201 445217 682907 827467 925667 1720417 7568689 14066939 15736339 19067459 29247089 128667713 239137963 324146803 2187351121 2650376801 4065345371 5510495651 45056405617 93678426067 765958895489 13021301223313