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23313312333013 = 314716000900709
BaseRepresentation
bin1010100110100000011011…
…01100110011110011010101
310001112201201211011101122211
411103100031230303303111
511023431130424124023
6121325553212153421
74624221420123013
oct523201554636325
9101481654141584
1023313312333013
11747913604291a
122746339168871
13100158893c761
145a85282c58b3
152a6675833a0d
hex15340db33cd5

23313312333013 has 8 divisors (see below), whose sum is σ = 24577383490560. Its totient is φ = 22081242977040.

The previous prime is 23313312332971. The next prime is 23313312333029. The reversal of 23313312333013 is 31033321331332.

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 23313312333013 - 237 = 23175873379541 is a prime.

It is a super-3 number, since 3×233133123330133 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313312337013) 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 7 ways as a sum of consecutive naturals, for example, 8000448898 + ... + 8000451811.

It is an arithmetic number, because the mean of its divisors is an integer number (3072172936320).

Almost surely, 223313312333013 is an apocalyptic number.

It is an amenable number.

23313312333013 is a deficient number, since it is larger than the sum of its proper divisors (1264071157547).

23313312333013 is a wasteful number, since it uses less digits than its factorization.

23313312333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000900787.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 23313312333013 its reverse (31033321331332), we get a palindrome (54346633664345).

The spelling of 23313312333013 in words is "twenty-three trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-three thousand, thirteen".

Divisors: 1 31 47 1457 16000900709 496027921979 752042333323 23313312333013