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13132202033331 = 3223144234398571
BaseRepresentation
bin1011111100011001010000…
…1111001100000010110011
31201111102111201221122202100
42333012110033030002303
53210124222210031311
643532503400551443
72523525131344113
oct277062417140263
951442451848670
1013132202033331
114203376768087
121581137a82583
13743490b23c44
1433585db3b043
1517b8ea9b9a56
hexbf1943cc0b3

13132202033331 has 24 divisors (see below), whose sum is σ = 19794840788736. Its totient is φ = 8373575303280.

The previous prime is 13132202033309. The next prime is 13132202033383. The reversal of 13132202033331 is 13333020223131.

13132202033331 is a `hidden beast` number, since 1 + 3 + 1 + 322 + 0 + 2 + 0 + 3 + 3 + 331 = 666.

13132202033331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13132202033331 is a prime.

It is a super-2 number, since 2×131322020333312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132202033295 and 13132202033304.

It is not an unprimeable number, because it can be changed into a prime (13132202033831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786276 + ... + 5184846.

It is an arithmetic number, because the mean of its divisors is an integer number (824785032864).

Almost surely, 213132202033331 is an apocalyptic number.

13132202033331 is a deficient number, since it is larger than the sum of its proper divisors (6662638755405).

13132202033331 is a wasteful number, since it uses less digits than its factorization.

13132202033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413023 (or 4413020 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13132202033331 its reverse (13333020223131), we get a palindrome (26465222256462).

The spelling of 13132202033331 in words is "thirteen trillion, one hundred thirty-two billion, two hundred two million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 207 14423 43269 129807 331729 995187 2985561 4398571 13195713 39587139 101167133 303501399 910504197 63440589533 190321768599 570965305797 1459133559259 4377400677777 13132202033331