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133013323313 = 13195931728793
BaseRepresentation
bin111101111100000110…
…1100011111000110001
3110201022221000221002222
41323320031203320301
54134402402321223
6141034441050425
712416123410343
oct1737015437061
9421287027088
10133013323313
115145760a582
1221941a86a15
13c70a272490
14661b77d293
1536d768a0c8
hex1ef8363e31

133013323313 has 32 divisors (see below), whose sum is σ = 153829065600. Its totient is φ = 113983151616.

The previous prime is 133013323217. The next prime is 133013323321. The reversal of 133013323313 is 313323310331.

It is a happy number.

It is not a de Polignac number, because 133013323313 - 212 = 133013319217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013323913) 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, 4605245 + ... + 4634037.

It is an arithmetic number, because the mean of its divisors is an integer number (4807158300).

Almost surely, 2133013323313 is an apocalyptic number.

133013323313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133013323313 is a deficient number, since it is larger than the sum of its proper divisors (20815742287).

133013323313 is a wasteful number, since it uses less digits than its factorization.

133013323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 133013323313 its reverse (313323310331), we get a palindrome (446336633644).

The spelling of 133013323313 in words is "one hundred thirty-three billion, thirteen million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 13 19 59 247 317 767 1121 4121 6023 14573 18703 28793 78299 243139 355357 374309 547067 1698787 4619641 7111871 9127381 22084231 32276953 118655953 173420239 419600389 538515479 2254463107 7000701227 10231794101 133013323313