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132133123213 = 7132890950227
BaseRepresentation
bin111101100001110111…
…1110111010010001101
3110122001120210010120021
41323003233313102031
54131102034420323
6140411235222141
712355245005320
oct1730357672215
9418046703507
10132133123213
1151045781183
1221737147951
13c5c9abc110
1465768d87b7
15368527005d
hex1ec3bf748d

132133123213 has 16 divisors (see below), whose sum is σ = 162634245760. Its totient is φ = 104539190976.

The previous prime is 132133123183. The next prime is 132133123217. The reversal of 132133123213 is 312321331231.

It is a cyclic number.

It is not a de Polignac number, because 132133123213 - 25 = 132133123181 is a prime.

It is a super-3 number, since 3×1321331232133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133123217) 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 15 ways as a sum of consecutive naturals, for example, 2605606 + ... + 2655832.

It is an arithmetic number, because the mean of its divisors is an integer number (10164640360).

Almost surely, 2132133123213 is an apocalyptic number.

132133123213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132133123213 is a deficient number, since it is larger than the sum of its proper divisors (30501122547).

132133123213 is a wasteful number, since it uses less digits than its factorization.

132133123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79156.

The product of its digits is 1944, while the sum is 25.

Adding to 132133123213 its reverse (312321331231), we get a palindrome (444454454444).

The spelling of 132133123213 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 13 91 28909 50227 202363 351589 375817 652951 2630719 4570657 1452012343 10164086401 18876160459 132133123213