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133102321313 = 1324953410317
BaseRepresentation
bin111101111110110000…
…1000011111010100001
3110201120010111111102012
41323331201003322201
54140043143240223
6141051340402305
712421254030623
oct1737541037241
9421503444365
10133102321313
11514a2877045
1221967846395
13c722833310
146629508c13
1536e03b9c78
hex1efd843ea1

133102321313 has 8 divisors (see below), whose sum is σ = 143347055208. Its totient is φ = 122858457984.

The previous prime is 133102321307. The next prime is 133102321357. The reversal of 133102321313 is 313123201331.

It can be written as a sum of positive squares in 4 ways, for example, as 9137065744 + 123965255569 = 95588^2 + 352087^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133102321313 - 210 = 133102320289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133102321613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119231 + ... + 529547.

It is an arithmetic number, because the mean of its divisors is an integer number (17918381901).

Almost surely, 2133102321313 is an apocalyptic number.

133102321313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133102321313 is a deficient number, since it is larger than the sum of its proper divisors (10244733895).

133102321313 is a wasteful number, since it uses less digits than its factorization.

133102321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435283.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133102321313 its reverse (313123201331), we get a palindrome (446225522644).

The spelling of 133102321313 in words is "one hundred thirty-three billion, one hundred two million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 13 24953 324389 410317 5334121 10238640101 133102321313