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13101302020311 = 3210985811556351
BaseRepresentation
bin1011111010100110001001…
…1100111111100011010111
31201101110202021010100121200
42332221202130333203113
53204122431304122221
643510353254243543
72521352322513441
oct276514234774327
951343667110550
1013101302020311
1141a125a492a3a
1215771536565b3
137405a815c57b
1433416bd71491
1517abdcd60426
hexbea6273f8d7

13101302020311 has 24 divisors (see below), whose sum is σ = 19099956395520. Its totient is φ = 8653056984000.

The previous prime is 13101302020271. The next prime is 13101302020321. The reversal of 13101302020311 is 11302020310131.

13101302020311 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 302 + 0 + 20 + 311 = 666.

It is not a de Polignac number, because 13101302020311 - 213 = 13101302012119 is a prime.

It is a super-3 number, since 3×131013020203113 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101302020321) 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, 7639786 + ... + 9196136.

It is an arithmetic number, because the mean of its divisors is an integer number (795831516480).

Almost surely, 213101302020311 is an apocalyptic number.

13101302020311 is a deficient number, since it is larger than the sum of its proper divisors (5998654375209).

13101302020311 is a wasteful number, since it uses less digits than its factorization.

13101302020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565047 (or 1565044 counting only the distinct ones).

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

Adding to 13101302020311 its reverse (11302020310131), we get a palindrome (24403322330442).

The spelling of 13101302020311 in words is "thirteen trillion, one hundred one billion, three hundred two million, twenty thousand, three hundred eleven".

Divisors: 1 3 9 109 327 981 8581 25743 77229 935329 1556351 2805987 4669053 8417961 14007159 169642259 508926777 1526780331 13355047931 40065143793 120195431379 1455700224479 4367100673437 13101302020311