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13130431331 = 3117313031879
BaseRepresentation
bin11000011101010001…
…00111101101100011
31020220002020000121112
430032220213231203
5203342342300311
610010530413535
7643245552623
oct141650475543
936802200545
1013130431331
115628871446
1226654312ab
13131340b8c4
148c7bdc883
1551cb1828b
hex30ea27b63

13130431331 has 16 divisors (see below), whose sum is σ = 13650063360. Its totient is φ = 12617004960.

The previous prime is 13130431319. The next prime is 13130431361. The reversal of 13130431331 is 13313403131.

It is not a de Polignac number, because 13130431331 - 26 = 13130431267 is a prime.

It is a super-2 number, since 2×131304313312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13130431297 and 13130431306.

It is not an unprimeable number, because it can be changed into a prime (13130431361) 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, 6987050 + ... + 6988928.

It is an arithmetic number, because the mean of its divisors is an integer number (853128960).

Almost surely, 213130431331 is an apocalyptic number.

13130431331 is a deficient number, since it is larger than the sum of its proper divisors (519632029).

13130431331 is a wasteful number, since it uses less digits than its factorization.

13130431331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13130431331 its reverse (13313403131), we get a palindrome (26443834462).

The spelling of 13130431331 in words is "thirteen billion, one hundred thirty million, four hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 31 173 1303 1879 5363 40393 58249 225419 325067 2448337 6987989 10077077 75898447 423562301 13130431331