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21021300013131 = 3311831933441157
BaseRepresentation
bin1001100011110011001110…
…00111101011100001001011
32202102121122112121201011000
410301321213013223201023
510223403110300410011
6112413015113510043
74266511260631365
oct461714707534113
982377575551130
1021021300013131
1167750a0919070
12243609aa12323
13b963b9398132
145296174b1d35
15266c2b55c356
hex131e671eb84b

21021300013131 has 64 divisors (see below), whose sum is σ = 34401006743040. Its totient is φ = 12580145665920.

The previous prime is 21021300013121. The next prime is 21021300013169. The reversal of 21021300013131 is 13131000312012.

21021300013131 is a `hidden beast` number, since 210 + 21 + 300 + 0 + 1 + 3 + 131 = 666.

It is not a de Polignac number, because 21021300013131 - 210 = 21021300012107 is a prime.

It is a super-2 number, since 2×210213000131312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21021300013121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47429805 + ... + 47870961.

It is an arithmetic number, because the mean of its divisors is an integer number (537515730360).

Almost surely, 221021300013131 is an apocalyptic number.

21021300013131 is a deficient number, since it is larger than the sum of its proper divisors (13379706729909).

21021300013131 is a wasteful number, since it uses less digits than its factorization.

21021300013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443193 (or 443187 counting only the distinct ones).

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

Adding to 21021300013131 its reverse (13131000312012), we get a palindrome (34152300325143).

The spelling of 21021300013131 in words is "twenty-one trillion, twenty-one billion, three hundred million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 83 99 249 297 747 913 1933 2241 2739 5799 8217 17397 21263 24651 52191 63789 160439 191367 441157 481317 574101 1323471 1443951 1764829 3970413 4331853 4852727 5294487 11911239 14558181 15883461 36616031 43674543 47650383 109848093 131023629 329544279 402776341 852756481 988632837 1208329023 2558269443 3624987069 7674808329 9380321291 10874961207 23024424987 28140963873 70778787923 84422891619 212336363769 253268674857 637009091307 778566667153 1911027273921 2335700001459 7007100004377 21021300013131