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13123213131 = 372579242309
BaseRepresentation
bin11000011100011010…
…00101011101001011
31020212120122022002210
430032031011131023
5203334020310011
610010112000203
7643130320410
oct141615053513
936776568083
1013123213131
115624791296
122662b30063
131311a82292
148c6c80107
1551c18e6a6
hex30e34574b

13123213131 has 16 divisors (see below), whose sum is σ = 20005113600. Its totient is φ = 7496040288.

The previous prime is 13123213127. The next prime is 13123213133. The reversal of 13123213131 is 13131232131.

It is a happy number.

13123213131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13123213131 - 22 = 13123213127 is a prime.

It is a super-2 number, since 2×131232131312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13123213098 and 13123213107.

It is not an unprimeable number, because it can be changed into a prime (13123213133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66996 + ... + 175313.

It is an arithmetic number, because the mean of its divisors is an integer number (1250319600).

Almost surely, 213123213131 is an apocalyptic number.

13123213131 is a deficient number, since it is larger than the sum of its proper divisors (6881900469).

13123213131 is a wasteful number, since it uses less digits than its factorization.

13123213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244898.

The product of its digits is 324, while the sum is 21.

Adding to 13123213131 its reverse (13131232131), we get a palindrome (26254445262).

The spelling of 13123213131 in words is "thirteen billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 2579 7737 18053 54159 242309 726927 1696163 5088489 624914911 1874744733 4374404377 13123213131