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13130131213 = 157313267193
BaseRepresentation
bin11000011101001110…
…11110011100001101
31020220001122202221001
430032213132130031
5203342303144323
610010520140301
7643243162633
oct141647363415
936801582831
1013130131213
115628686a11
122665307691
131313335114
148c7b61353
1551caa93ad
hex30e9de70d

13130131213 has 8 divisors (see below), whose sum is σ = 13256028728. Its totient is φ = 13004769024.

The previous prime is 13130131211. The next prime is 13130131229. The reversal of 13130131213 is 31213103131.

It can be written as a sum of positive squares in 4 ways, for example, as 2510210404 + 10619920809 = 50102^2 + 103053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13130131213 - 21 = 13130131211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130131211) 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 7 ways as a sum of consecutive naturals, for example, 84456 + ... + 182737.

It is an arithmetic number, because the mean of its divisors is an integer number (1657003591).

Almost surely, 213130131213 is an apocalyptic number.

It is an amenable number.

13130131213 is a deficient number, since it is larger than the sum of its proper divisors (125897515).

13130131213 is a wasteful number, since it uses less digits than its factorization.

13130131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267663.

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

Adding to 13130131213 its reverse (31213103131), we get a palindrome (44343234344).

The spelling of 13130131213 in words is "thirteen billion, one hundred thirty million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 157 313 49141 267193 41949301 83631409 13130131213