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13020113131200 = 26325271012395351
BaseRepresentation
bin1011110101110111101100…
…1101111101011011000000
31201002201012001220110100200
42331131323031331123000
53201310142430144300
643405205110445200
72512446353401020
oct275357315753300
951081161813320
1013020113131200
11416a88747997a
121563475663800
13735a39923696
14330269359a80
15178a3a2ed200
hexbd77b37d6c0

13020113131200 has 1008 divisors, whose sum is σ = 53644632238080. Its totient is φ = 2933683200000.

The previous prime is 13020113131079. The next prime is 13020113131213. The reversal of 13020113131200 is 213131102031.

13020113131200 is a `hidden beast` number, since 1 + 30 + 201 + 1 + 313 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2433208525 + ... + 2433213875.

Almost surely, 213020113131200 is an apocalyptic number.

13020113131200 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 13020113131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822316119040).

13020113131200 is an abundant number, since it is smaller than the sum of its proper divisors (40624519106880).

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

13020113131200 is a wasteful number, since it uses less digits than its factorization.

13020113131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13020113131200 its reverse (213131102031), we get a palindrome (13233244233231).

The spelling of 13020113131200 in words is "thirteen trillion, twenty billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred".