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13333113112033 = 1113151161706521
BaseRepresentation
bin1100001000000101101101…
…1110001000010111100001
31202012122002120120221021101
43002001123132020113201
53221422203424041113
644205051514354401
72544166654341211
oct302013336102741
952178076527241
1013333113112033
1142805a5838190
1215b406872ba01
137593cbb18330
1434147cc20241
15181c58e082dd
hexc205b7885e1

13333113112033 has 16 divisors (see below), whose sum is σ = 15674443892352. Its totient is φ = 11181221424000.

The previous prime is 13333113111961. The next prime is 13333113112159. The reversal of 13333113112033 is 33021131133331.

It is a cyclic number.

It is not a de Polignac number, because 13333113112033 - 229 = 13332576241121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13333113111992 and 13333113112010.

It is not an unprimeable number, because it can be changed into a prime (13333113119033) 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 15 ways as a sum of consecutive naturals, for example, 30637188 + ... + 31069333.

It is an arithmetic number, because the mean of its divisors is an integer number (979652743272).

Almost surely, 213333113112033 is an apocalyptic number.

13333113112033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13333113112033 is a deficient number, since it is larger than the sum of its proper divisors (2341330780319).

13333113112033 is a wasteful number, since it uses less digits than its factorization.

13333113112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61708056.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 13333113112033 its reverse (33021131133331), we get a palindrome (46354244245364).

The spelling of 13333113112033 in words is "thirteen trillion, three hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand, thirty-three".

Divisors: 1 11 13 143 1511 16621 19643 216073 61706521 678771731 802184773 8824032503 93238553231 1025624085541 1212101192003 13333113112033