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13021111111311 = 332393375987651
BaseRepresentation
bin1011110101111011011010…
…1100111100111010001111
31201002210202121210002201000
42331132312230330322033
53201314213421030221
643405452120551343
72512513162160022
oct275366654747217
951083677702630
1013021111111311
114170249843126
1215636b3922553
13735b68604364
14330321add1b9
15178a97c30e26
hexbd7b6b3ce8f

13021111111311 has 32 divisors (see below), whose sum is σ = 19428733209600. Its totient is φ = 8618767113600.

The previous prime is 13021111111289. The next prime is 13021111111313. The reversal of 13021111111311 is 11311111112031.

It is a happy number.

13021111111311 is a `hidden beast` number, since 1 + 30 + 211 + 1 + 1 + 111 + 311 = 666.

It is not a de Polignac number, because 13021111111311 - 230 = 13020037369487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021111111313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819165 + ... + 5168486.

It is an arithmetic number, because the mean of its divisors is an integer number (607147912800).

Almost surely, 213021111111311 is an apocalyptic number.

13021111111311 is a deficient number, since it is larger than the sum of its proper divisors (6407622098289).

13021111111311 is a wasteful number, since it uses less digits than its factorization.

13021111111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988236 (or 5988230 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 13021111111311 its reverse (11311111112031), we get a palindrome (24332222223342).

The spelling of 13021111111311 in words is "thirteen trillion, twenty-one billion, one hundred eleven million, one hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 27 239 337 717 1011 2151 3033 6453 9099 80543 241629 724887 2174661 5987651 17962953 53888859 161666577 1431048589 2017838387 4293145767 6053515161 12879437301 18160545483 38638311903 54481636449 482263374493 1446790123479 4340370370437 13021111111311