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13132221130233 = 34162126186793
BaseRepresentation
bin1011111100011001010101…
…1000000010010111111001
31201111102120001212212210000
42333012111120002113321
53210124242102131413
643532505322143213
72523525452562162
oct277062530022771
951442501785700
1013132221130233
114203386520947
121581142351b09
13743494a7c29a
143358624ac769
1517b8ec4dd073
hexbf1956025f9

13132221130233 has 10 divisors (see below), whose sum is σ = 19617268602074. Its totient is φ = 8754814086768.

The previous prime is 13132221130177. The next prime is 13132221130253. The reversal of 13132221130233 is 33203112223131.

13132221130233 is a `hidden beast` number, since 1 + 3 + 1 + 322 + 2 + 1 + 1 + 302 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10108889584704 + 3023331545529 = 3179448^2 + 1738773^2 .

It is not a de Polignac number, because 13132221130233 - 29 = 13132221129721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132221130197 and 13132221130206.

It is not an unprimeable number, because it can be changed into a prime (13132221130253) 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 9 ways as a sum of consecutive naturals, for example, 81063093316 + ... + 81063093477.

Almost surely, 213132221130233 is an apocalyptic number.

It is an amenable number.

13132221130233 is a deficient number, since it is larger than the sum of its proper divisors (6485047471841).

13132221130233 is an equidigital number, since it uses as much as digits as its factorization.

13132221130233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162126186805 (or 162126186796 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13132221130233 its reverse (33203112223131), we get a palindrome (46335333353364).

The spelling of 13132221130233 in words is "thirteen trillion, one hundred thirty-two billion, two hundred twenty-one million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 162126186793 486378560379 1459135681137 4377407043411 13132221130233