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13130445440133 = 347130099178001
BaseRepresentation
bin1011111100010010101110…
…0010010100010010000101
31201111020222022121110220000
42333010223202110102011
53210112123013041013
643532013211031513
72523433451504130
oct277045342242205
951436868543800
1013130445440133
11420265516066a
12158092773b599
13743270c21298
14335734723217
1517b846687973
hexbf12b894485

13130445440133 has 40 divisors (see below), whose sum is σ = 22417002273600. Its totient is φ = 7503011856000.

The previous prime is 13130445440131. The next prime is 13130445440171. The reversal of 13130445440133 is 33104454403131.

13130445440133 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 4 + 454 + 40 + 133 = 666.

It is not a de Polignac number, because 13130445440133 - 21 = 13130445440131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130445440131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73677133 + ... + 73855133.

It is an arithmetic number, because the mean of its divisors is an integer number (560425056840).

Almost surely, 213130445440133 is an apocalyptic number.

It is an amenable number.

13130445440133 is a deficient number, since it is larger than the sum of its proper divisors (9286556833467).

13130445440133 is a wasteful number, since it uses less digits than its factorization.

13130445440133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308119 (or 308110 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13130445440133 its reverse (33104454403131), we get a palindrome (46234899843264).

The spelling of 13130445440133 in words is "thirteen trillion, one hundred thirty billion, four hundred forty-five million, four hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 130099 178001 390297 534003 910693 1170891 1246007 1602009 2732079 3512673 3738021 4806027 8196237 10538019 11214063 14418081 24588711 33642189 73766133 100926567 23157752099 69473256297 162104264693 208419768891 486312794079 625259306673 1458938382237 1875777920019 4376815146711 13130445440133