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11131332201213 = 3737101141841969
BaseRepresentation
bin1010000111111011011100…
…0110100000101011111101
31110102010220200100202102220
42201332313012200223331
52424333432020414323
635401355144235553
72226132534365250
oct241766706405375
943363820322386
1011131332201213
11360185391a584
1212b93b076bbb9
136298ac2c9713
142a6a8b945097
1514484146e0e3
hexa1fb71a0afd

11131332201213 has 32 divisors (see below), whose sum is σ = 17592943223040. Its totient is φ = 6127573017600.

The previous prime is 11131332201211. The next prime is 11131332201293. The reversal of 11131332201213 is 31210223313111.

It is not a de Polignac number, because 11131332201213 - 21 = 11131332201211 is a prime.

It is a super-2 number, since 2×111313322012132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131332201211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70842508 + ... + 70999461.

It is an arithmetic number, because the mean of its divisors is an integer number (549779475720).

Almost surely, 211131332201213 is an apocalyptic number.

It is an amenable number.

11131332201213 is a deficient number, since it is larger than the sum of its proper divisors (6461611021827).

11131332201213 is a wasteful number, since it uses less digits than its factorization.

11131332201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141842117.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11131332201213 its reverse (31210223313111), we get a palindrome (42341555514324).

The spelling of 11131332201213 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 7 21 37 101 111 259 303 707 777 2121 3737 11211 26159 78477 141841969 425525907 992893783 2978681349 5248152853 14326038869 15744458559 36737069971 42978116607 100282272083 110211209913 300846816249 530063438153 1590190314459 3710444067071 11131332201213