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13131202133 = 72893011053
BaseRepresentation
bin11000011101010111…
…00011111001010101
31020220010200011221202
430032223203321111
5203343041432013
610010555122245
7643255243100
oct141653437125
936803604852
1013131202133
115629248575
122665743385
13131361b6ba
148c7d5d737
1551cc1b858
hex30eae3e55

13131202133 has 12 divisors (see below), whose sum is σ = 15446707020. Its totient is φ = 11128848192.

The previous prime is 13131202127. The next prime is 13131202163. The reversal of 13131202133 is 33120213131.

It can be written as a sum of positive squares in 2 ways, for example, as 4714607569 + 8416594564 = 68663^2 + 91742^2 .

It is not a de Polignac number, because 13131202133 - 226 = 13064093269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131202163) 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 11 ways as a sum of consecutive naturals, for example, 1501166 + ... + 1509887.

It is an arithmetic number, because the mean of its divisors is an integer number (1287225585).

Almost surely, 213131202133 is an apocalyptic number.

It is an amenable number.

13131202133 is a deficient number, since it is larger than the sum of its proper divisors (2315504887).

13131202133 is an equidigital number, since it uses as much as digits as its factorization.

13131202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011156 (or 3011149 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13131202133 its reverse (33120213131), we get a palindrome (46251415264).

The spelling of 13131202133 in words is "thirteen billion, one hundred thirty-one million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 7 49 89 623 4361 3011053 21077371 147541597 267983717 1875886019 13131202133