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132133111111001 = 71113132001110001
BaseRepresentation
bin11110000010110010100011…
…001001101001110101011001
3122022211210122200220012100002
4132002302203021221311121
5114304332102421023001
61145005040244022345
736555205446036410
oct3602624311516531
9568753580805302
10132133111111001
1139113379578960
12129a03476919b5
135896139409560
14248b3c33a4477
1510421435ca46b
hex782ca3269d59

132133111111001 has 16 divisors (see below), whose sum is σ = 177409491842688. Its totient is φ = 95040799200000.

The previous prime is 132133111110991. The next prime is 132133111111003. The reversal of 132133111111001 is 100111111331231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132133111111001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132133111111003) 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, 66000554000 + ... + 66000556001.

It is an arithmetic number, because the mean of its divisors is an integer number (11088093240168).

Almost surely, 2132133111111001 is an apocalyptic number.

132133111111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132133111111001 is a deficient number, since it is larger than the sum of its proper divisors (45276380731687).

132133111111001 is a wasteful number, since it uses less digits than its factorization.

132133111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132001110032.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 132133111111001 its reverse (100111111331231), we get a palindrome (232244222442232).

The spelling of 132133111111001 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, one hundred eleven million, one hundred eleven thousand, one".

Divisors: 1 7 11 13 77 91 143 1001 132001110001 924007770007 1452012210011 1716014430013 10164085470077 12012101010091 18876158730143 132133111111001