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13221332130000 = 243542511755821
BaseRepresentation
bin1100000001100101010011…
…0011100001100011010000
31201210221120100221200211210
43000121110303201203100
53213104242011130000
644041443544140120
72533131635562261
oct300312463414320
951727510850753
1013221332130000
1142381543429a5
121596471467640
1374b9c6659807
14339cb72b4968
1517ddb57b2350
hexc0654ce18d0

13221332130000 has 200 divisors, whose sum is σ = 42850288093536. Its totient is φ = 3511640000000.

The previous prime is 13221332129989. The next prime is 13221332130023. The reversal of 13221332130000 is 3123312231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6652090 + ... + 8407910.

Almost surely, 213221332130000 is an apocalyptic number.

13221332130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221332130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425144046768).

13221332130000 is an abundant number, since it is smaller than the sum of its proper divisors (29628955963536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221332130000 is a wasteful number, since it uses less digits than its factorization.

13221332130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756103 (or 1756082 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13221332130000 its reverse (3123312231), we get a palindrome (13224455442231).

The spelling of 13221332130000 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred thirty thousand".