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13021321010100 = 22352133338800259
BaseRepresentation
bin1011110101111100001100…
…1101101001101110110100
31201002211022020202001201020
42331133003031221232310
53201320131134310400
643405525015501140
72512521321242604
oct275370315515664
951084266661636
1013021321010100
1141703472771a7
1215637520877b0
13735b9cc46120
1433034193ac04
15178aab3932a0
hexbd7c3369bb4

13021321010100 has 72 divisors (see below), whose sum is σ = 40573100759520. Its totient is φ = 3205248247680.

The previous prime is 13021321010051. The next prime is 13021321010101. The reversal of 13021321010100 is 101012312031.

It is a happy number.

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 13021321010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021321010101) 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, 1669396230 + ... + 1669404029.

Almost surely, 213021321010100 is an apocalyptic number.

13021321010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021321010100 is an abundant number, since it is smaller than the sum of its proper divisors (27551779749420).

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

13021321010100 is a wasteful number, since it uses less digits than its factorization.

13021321010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338800289 (or 3338800282 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13021321010100 its reverse (101012312031), we get a palindrome (13122333322131).

The spelling of 13021321010100 in words is "thirteen trillion, twenty-one billion, three hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3338800259 6677600518 10016400777 13355201036 16694001295 20032801554 33388002590 40065603108 43404403367 50082003885 66776005180 83470006475 86808806734 100164007770 130213210101 166940012950 173617613468 200328015540 217022016835 250410019425 260426420202 333880025900 434044033670 500820038850 520852840404 651066050505 868088067340 1001640077700 1085110084175 1302132101010 2170220168350 2604264202020 3255330252525 4340440336700 6510660505050 13021321010100