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1313322122333 = 13526119202581
BaseRepresentation
bin10011000111001000000…
…110010011110001011101
311122112220200021101110102
4103013020012103301131
5133004140430403313
62443155402550445
7163612226564234
oct23071006236135
94575820241412
101313322122333
11466a82110951
12192644b08425
1396acc141370
14477caa05b1b
15242687a5a58
hex131c8193c5d

1313322122333 has 8 divisors (see below), whose sum is σ = 1414615810776. Its totient is φ = 1212066849600.

The previous prime is 1313322122327. The next prime is 1313322122417. The reversal of 1313322122333 is 3332212233131.

It can be written as a sum of positive squares in 4 ways, for example, as 458433263929 + 854888858404 = 677077^2 + 924602^2 .

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 1313322122333 - 222 = 1313317928029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313322122296 and 1313322122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313322122933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9532898 + ... + 9669683.

It is an arithmetic number, because the mean of its divisors is an integer number (176826976347).

Almost surely, 21313322122333 is an apocalyptic number.

1313322122333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313322122333 is a deficient number, since it is larger than the sum of its proper divisors (101293688443).

1313322122333 is a wasteful number, since it uses less digits than its factorization.

1313322122333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19207855.

The product of its digits is 11664, while the sum is 29.

Adding to 1313322122333 its reverse (3332212233131), we get a palindrome (4645534355464).

The spelling of 1313322122333 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 13 5261 68393 19202581 249633553 101024778641 1313322122333