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13130001031231 = 724127672361977
BaseRepresentation
bin1011111100010001000100…
…0011000010000000111111
31201111012211100101011111001
42333010101003002000333
53210110220230444411
643531501133511131
72523416444212300
oct277042103020077
951435740334431
1013130001031231
114202447313687
1215808229424a7
137431ccb31436
143356d16bc7a7
1517b81c650dc1
hexbf1110c203f

13130001031231 has 24 divisors (see below), whose sum is σ = 15651864518976. Its totient is φ = 10975819034880.

The previous prime is 13130001031159. The next prime is 13130001031249. The reversal of 13130001031231 is 13213010003131.

It is not a de Polignac number, because 13130001031231 - 211 = 13130001029183 is a prime.

It is a super-2 number, since 2×131300010312312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13130001031199 and 13130001031208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130001031261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4377915 + ... + 6739891.

It is an arithmetic number, because the mean of its divisors is an integer number (652161021624).

Almost surely, 213130001031231 is an apocalyptic number.

13130001031231 is a deficient number, since it is larger than the sum of its proper divisors (2521863487745).

13130001031231 is a wasteful number, since it uses less digits than its factorization.

13130001031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364799 (or 2364792 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13130001031231 its reverse (13213010003131), we get a palindrome (26343011034362).

The spelling of 13130001031231 in words is "thirteen trillion, one hundred thirty billion, one million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 41 49 287 2009 2767 19369 113447 135583 794129 2361977 5558903 16533839 96841057 115736873 677887399 4745211793 6535590359 45749132513 267959204719 320243927591 1875714433033 13130001031231