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13132131210100 = 2252747501394943
BaseRepresentation
bin1011111100011001000000…
…0001000001001101110100
31201111102022210200110112201
42333012100001001031310
53210124101042210400
643532452350554244
72523523311351310
oct277062001011564
951442283613481
1013132131210100
11420333a794591
121581118208984
1374347c2577c6
14335854582b40
1517b8e467a06a
hexbf190041374

13132131210100 has 72 divisors (see below), whose sum is σ = 32568453485568. Its totient is φ = 4502338800000.

The previous prime is 13132131210073. The next prime is 13132131210101. The reversal of 13132131210100 is 101213123131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132131210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33053229 + ... + 33448171.

It is an arithmetic number, because the mean of its divisors is an integer number (452339631744).

Almost surely, 213132131210100 is an apocalyptic number.

13132131210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132131210100 is an abundant number, since it is smaller than the sum of its proper divisors (19436322275468).

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

13132131210100 is a wasteful number, since it uses less digits than its factorization.

13132131210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442465 (or 442458 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13132131210100 its reverse (101213123131), we get a palindrome (13233344333231).

The spelling of 13132131210100 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 47501 95002 190004 237505 332507 394943 475010 665014 789886 950020 1187525 1330028 1579772 1662535 1974715 2375050 2764601 3325070 3949430 4750100 5529202 6650140 7898860 8312675 9873575 11058404 13823005 16625350 19747150 27646010 33250700 39494300 55292020 69115025 138230050 276460100 18760187443 37520374886 75040749772 93800937215 131321312101 187601874430 262642624202 375203748860 469004686075 525285248404 656606560505 938009372150 1313213121010 1876018744300 2626426242020 3283032802525 6566065605050 13132131210100