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13130320103131 = 711415341060351
BaseRepresentation
bin1011111100010010010000…
…0100001100011011011011
31201111020122120202200211211
42333010210010030123123
53210111343421300011
643531552532403551
72523430400244130
oct277044404143333
951436576680754
1013130320103131
1142025a0434070
1215808b17765b7
13743250c7908a
14335721c18587
1517b83a67ab21
hexbf12410c6db

13130320103131 has 16 divisors (see below), whose sum is σ = 16374211411968. Its totient is φ = 10228954392000.

The previous prime is 13130320103119. The next prime is 13130320103143. The reversal of 13130320103131 is 13130102303131.

It is an interprime number because it is at equal distance from previous prime (13130320103119) and next prime (13130320103143).

It is a cyclic number.

It is not a de Polignac number, because 13130320103131 - 25 = 13130320103099 is a prime.

It is a super-2 number, since 2×131303201031312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130320103101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20210395 + ... + 20849956.

It is an arithmetic number, because the mean of its divisors is an integer number (1023388213248).

Almost surely, 213130320103131 is an apocalyptic number.

13130320103131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13130320103131 is a deficient number, since it is larger than the sum of its proper divisors (3243891308837).

13130320103131 is a wasteful number, since it uses less digits than its factorization.

13130320103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41064522.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13130320103131 its reverse (13130102303131), we get a palindrome (26260422406262).

The spelling of 13130320103131 in words is "thirteen trillion, one hundred thirty billion, three hundred twenty million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 7 11 77 4153 29071 45683 319781 41060351 287422457 451663861 3161647027 170523637703 1193665463921 1875760014733 13130320103131