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13011300001033 = 2941105110412047
BaseRepresentation
bin1011110101010110110111…
…1010100010010100001001
31201001212102212110001120021
42331111231322202110021
53201134120300013113
643401150402500441
72512015100126665
oct275255572422411
951055385401507
1013011300001033
114167074712824
121561816064721
13734c63ab1169
1432da70aa98a5
151786c173548d
hexbd56dea2509

13011300001033 has 16 divisors (see below), whose sum is σ = 13801377864960. Its totient is φ = 12244566096000.

The previous prime is 13011300000983. The next prime is 13011300001057. The reversal of 13011300001033 is 33010000311031.

It is a cyclic number.

It is not a de Polignac number, because 13011300001033 - 217 = 13011299869961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13011300000998 and 13011300001016.

It is not an unprimeable number, because it can be changed into a prime (13011300008033) 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 15 ways as a sum of consecutive naturals, for example, 3956385 + ... + 6455662.

It is an arithmetic number, because the mean of its divisors is an integer number (862586116560).

Almost surely, 213011300001033 is an apocalyptic number.

It is an amenable number.

13011300001033 is a deficient number, since it is larger than the sum of its proper divisors (790077863927).

13011300001033 is a wasteful number, since it uses less digits than its factorization.

13011300001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413168.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13011300001033 its reverse (33010000311031), we get a palindrome (46021300312064).

The spelling of 13011300001033 in words is "thirteen trillion, eleven billion, three hundred million, one thousand, thirty-three".

Divisors: 1 29 41 1051 1189 30479 43091 1249639 10412047 301949363 426893927 10943061397 12379923883 317348780513 448665517277 13011300001033