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13130254514331 = 331493263796797
BaseRepresentation
bin1011111100010010000000…
…1001111111100010011011
31201111020111000100102221000
42333010200021333202123
53210111230123424311
643531542230520043
72523425642612133
oct277044011774233
951436430312830
1013130254514331
114202567406249
121580893806023
137432404c3336
14335717223ac3
1517b834a22056
hexbf12027f89b

13130254514331 has 16 divisors (see below), whose sum is σ = 19582780788000. Its totient is φ = 8694754664544.

The previous prime is 13130254514329. The next prime is 13130254514359. The reversal of 13130254514331 is 13341545203131.

13130254514331 is a `hidden beast` number, since 1 + 3 + 1 + 302 + 5 + 4 + 5 + 14 + 331 = 666.

It is not a de Polignac number, because 13130254514331 - 21 = 13130254514329 is a prime.

It is a super-2 number, since 2×131302545143312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13130254514371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631894376 + ... + 1631902421.

It is an arithmetic number, because the mean of its divisors is an integer number (1223923799250).

Almost surely, 213130254514331 is an apocalyptic number.

13130254514331 is a deficient number, since it is larger than the sum of its proper divisors (6452526273669).

13130254514331 is a wasteful number, since it uses less digits than its factorization.

13130254514331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263796955 (or 3263796949 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13130254514331 its reverse (13341545203131), we get a palindrome (26471799717462).

The spelling of 13130254514331 in words is "thirteen trillion, one hundred thirty billion, two hundred fifty-four million, five hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 149 447 1341 4023 3263796797 9791390391 29374171173 88122513519 486305722753 1458917168259 4376751504777 13130254514331