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13130012222131 = 719475011419171
BaseRepresentation
bin1011111100010001000110…
…1101101110001010110011
31201111012212010102201111211
42333010101231232022303
53210110231112102011
643531502213420551
72523416641301650
oct277042155561263
951435763381454
1013130012222131
114202452667562
12158082663a757
1374320224c07c
143356d2d92c27
1517b81d611b21
hexbf111b6e2b3

13130012222131 has 32 divisors (see below), whose sum is σ = 16134835691520. Its totient is φ = 10433007165600.

The previous prime is 13130012222113. The next prime is 13130012222149. The reversal of 13130012222131 is 13122221003131.

It is an interprime number because it is at equal distance from previous prime (13130012222113) and next prime (13130012222149).

It is a cyclic number.

It is not a de Polignac number, because 13130012222131 - 233 = 13121422287539 is a prime.

It is a super-2 number, since 2×131300122221312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13130012222531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31114176 + ... + 31533346.

It is an arithmetic number, because the mean of its divisors is an integer number (504213615360).

Almost surely, 213130012222131 is an apocalyptic number.

13130012222131 is a deficient number, since it is larger than the sum of its proper divisors (3004823469389).

13130012222131 is a wasteful number, since it uses less digits than its factorization.

13130012222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424255.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13130012222131 its reverse (13122221003131), we get a palindrome (26252233225262).

The spelling of 13130012222131 in words is "thirteen trillion, one hundred thirty billion, twelve million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 19 47 133 329 893 5011 6251 35077 95209 235517 419171 666463 1648619 2934197 4474823 7964249 19701037 31323761 55749743 137907259 374319703 2100465881 2620237921 14703261167 39908851739 98721896407 279361962173 691053274849 1875716031733 13130012222131