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13101110131200 = 2935271337107947
BaseRepresentation
bin1011111010100101011100…
…0000111111101000000000
31201101110020220001101020120
42332221113000333220000
53204122033143144300
643510322241340240
72521344502500120
oct276512700775000
951343226041216
1013101110131200
1141a117113a8a3
1215770bb337680
13740577485010
143341506a0c80
1517abcb0a93a0
hexbea5703fa00

13101110131200 has 1920 divisors, whose sum is σ = 55275290155008. Its totient is φ = 2661533614080.

The previous prime is 13101110131199. The next prime is 13101110131201. The reversal of 13101110131200 is 213101110131.

It is an interprime number because it is at equal distance from previous prime (13101110131199) and next prime (13101110131201).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13101110131200.

It is not an unprimeable number, because it can be changed into a prime (13101110131201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13834329127 + ... + 13834330073.

Almost surely, 213101110131200 is an apocalyptic number.

13101110131200 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 13101110131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637645077504).

13101110131200 is an abundant number, since it is smaller than the sum of its proper divisors (42174180023808).

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

13101110131200 is a wasteful number, since it uses less digits than its factorization.

13101110131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13101110131200 its reverse (213101110131), we get a palindrome (13314211241331).

The spelling of 13101110131200 in words is "thirteen trillion, one hundred one billion, one hundred ten million, one hundred thirty-one thousand, two hundred".