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13131331022133 = 327918468820003
BaseRepresentation
bin1011111100010110000001…
…0100100010110100110101
31201111100021000222201000100
42333011200110202310311
53210120431220202013
643532241124104313
72523464424022632
oct277054024426465
951440230881010
1013131331022133
114202a6a035515
121580b34235099
1374338253a1bc
143357ba1a9189
1517b8992b7473
hexbf160522d35

13131331022133 has 12 divisors (see below), whose sum is σ = 19207572804160. Its totient is φ = 8643407760936.

The previous prime is 13131331022101. The next prime is 13131331022141. The reversal of 13131331022133 is 33122013313131.

13131331022133 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 310 + 2 + 2 + 1 + 33 = 666.

It is not a de Polignac number, because 13131331022133 - 25 = 13131331022101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131331022097 and 13131331022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131331022153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9234409291 + ... + 9234410712.

Almost surely, 213131331022133 is an apocalyptic number.

It is an amenable number.

13131331022133 is a deficient number, since it is larger than the sum of its proper divisors (6076241782027).

13131331022133 is a wasteful number, since it uses less digits than its factorization.

13131331022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468820088 (or 18468820085 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13131331022133 its reverse (33122013313131), we get a palindrome (46253344335264).

The spelling of 13131331022133 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 79 237 711 18468820003 55406460009 166219380027 1459036780237 4377110340711 13131331022133