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13101132201313 = 131007779400101
BaseRepresentation
bin1011111010100101100001…
…0101001011110101100001
31201101110022102120122202011
42332221120111023311201
53204122104320420223
643510324350352521
72521345161210352
oct276513025136541
951343272518664
1013101132201313
1141a1182644462
1215771067bb741
1374057bc11760
143341535a7d29
1517abcceb880d
hexbea5854bd61

13101132201313 has 4 divisors (see below), whose sum is σ = 14108911601428. Its totient is φ = 12093352801200.

The previous prime is 13101132201299. The next prime is 13101132201347. The reversal of 13101132201313 is 31310223110131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1078872761344 + 12022259439969 = 1038688^2 + 3467313^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101132201313 - 25 = 13101132201281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101132201713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503889700038 + ... + 503889700063.

It is an arithmetic number, because the mean of its divisors is an integer number (3527227900357).

Almost surely, 213101132201313 is an apocalyptic number.

13101132201313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101132201313 is a deficient number, since it is larger than the sum of its proper divisors (1007779400115).

13101132201313 is a wasteful number, since it uses less digits than its factorization.

13101132201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007779400114.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13101132201313 its reverse (31310223110131), we get a palindrome (44411355311444).

The spelling of 13101132201313 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 13 1007779400101 13101132201313