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1332320033213 = 137924126920011
BaseRepresentation
bin10011011000110100011…
…101100101100110111101
311201100221200012020212022
4103120310131211212331
5133312042412030323
62500020454045525
7165154063266431
oct23306435454675
94640850166768
101332320033213
11474040a1a544
121962673498a5
1398839029c50
14486adb989c1
15249cb57b4c8
hex136347659bd

1332320033213 has 32 divisors (see below), whose sum is σ = 1464494169600. Its totient is φ = 1204672435200.

The previous prime is 1332320033189. The next prime is 1332320033249. The reversal of 1332320033213 is 3123300232331.

It is a happy number.

It is not a de Polignac number, because 1332320033213 - 210 = 1332320032189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332320033273) 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 31 ways as a sum of consecutive naturals, for example, 66569378 + ... + 66589388.

It is an arithmetic number, because the mean of its divisors is an integer number (45765442800).

Almost surely, 21332320033213 is an apocalyptic number.

1332320033213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1332320033213 is a deficient number, since it is larger than the sum of its proper divisors (132174136387).

1332320033213 is a wasteful number, since it uses less digits than its factorization.

1332320033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20613.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 1332320033213 its reverse (3123300232331), we get a palindrome (4455620265544).

The spelling of 1332320033213 in words is "one trillion, three hundred thirty-two billion, three hundred twenty million, thirty-three thousand, two hundred thirteen".

Divisors: 1 13 79 241 269 1027 3133 3497 19039 20011 21251 64829 247507 260143 276263 842777 1580869 4822651 5121491 5382959 20551297 62694463 66579383 69978467 380989429 425253761 1297293119 4952862577 5528298893 16864810547 102486156401 1332320033213