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133012113234013 = 1314968669134349
BaseRepresentation
bin11110001111100101001011…
…110000101001100001011101
3122102221211111212110121102201
4132033211023300221201131
5114413232301441442023
61150520530554051501
740005544106563606
oct3617451360514135
9572854455417381
10133012113234013
1139422136335a02
1212b0277b719b91
13592acb0844c80
1424bbb6bb4adad
151059e3c478bad
hex78f94bc2985d

133012113234013 has 8 divisors (see below), whose sum is σ = 144205182135000. Its totient is φ = 121956382602048.

The previous prime is 133012113233981. The next prime is 133012113234073. The reversal of 133012113234013 is 310432311210331.

It can be written as a sum of positive squares in 4 ways, for example, as 16744480368004 + 116267632866009 = 4092002^2 + 10782747^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133012113234013 - 25 = 133012113233981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012113234073) 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, 34334565238 + ... + 34334569111.

It is an arithmetic number, because the mean of its divisors is an integer number (18025647766875).

Almost surely, 2133012113234013 is an apocalyptic number.

133012113234013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133012113234013 is a deficient number, since it is larger than the sum of its proper divisors (11193068900987).

133012113234013 is a wasteful number, since it uses less digits than its factorization.

133012113234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68669134511.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 133012113234013 its reverse (310432311210331), we get a palindrome (443444424444344).

The spelling of 133012113234013 in words is "one hundred thirty-three trillion, twelve billion, one hundred thirteen million, two hundred thirty-four thousand, thirteen".

Divisors: 1 13 149 1937 68669134349 892698746537 10231701018001 133012113234013