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133133211133 = 1317489585569
BaseRepresentation
bin111101111111101011…
…0111001010111111101
3110201122021121212021121
41323333112321113331
54140124100224013
6141054402430541
712422110423456
oct1737726712775
9421567555247
10133133211133
115150925501a
1221976062451
13c72905a310
14662d66a12d
1536e2e6c58d
hex1eff5b95fd

133133211133 has 8 divisors (see below), whose sum is σ = 143382670200. Its totient is φ = 122884958208.

The previous prime is 133133211121. The next prime is 133133211139. The reversal of 133133211133 is 331112331331.

It can be written as a sum of positive squares in 4 ways, for example, as 7503370884 + 125629840249 = 86622^2 + 354443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133133211133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133133211098 and 133133211107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133211139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65428 + ... + 520141.

It is an arithmetic number, because the mean of its divisors is an integer number (17922833775).

Almost surely, 2133133211133 is an apocalyptic number.

133133211133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133133211133 is a deficient number, since it is larger than the sum of its proper divisors (10249459067).

133133211133 is a wasteful number, since it uses less digits than its factorization.

133133211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603071.

The product of its digits is 1458, while the sum is 25.

Adding to 133133211133 its reverse (331112331331), we get a palindrome (464245542464).

The spelling of 133133211133 in words is "one hundred thirty-three billion, one hundred thirty-three million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 17489 227357 585569 7612397 10241016241 133133211133