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13131213333 = 371633836171
BaseRepresentation
bin11000011101010111…
…00110101000010101
31020220010200202022120
430032223212220111
5203343042311313
610010555250153
7643255320540
oct141653465025
936803622276
1013131213333
115629255a27
122665749959
131313623824
148c7d63857
1551cc1ed23
hex30eae6a15

13131213333 has 16 divisors (see below), whose sum is σ = 20132230656. Its totient is φ = 7457514480.

The previous prime is 13131213307. The next prime is 13131213343. The reversal of 13131213333 is 33331213131.

13131213333 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 13131213333 - 26 = 13131213269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131213343) 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, 1914663 + ... + 1921508.

It is an arithmetic number, because the mean of its divisors is an integer number (1258264416).

Almost surely, 213131213333 is an apocalyptic number.

It is an amenable number.

13131213333 is a deficient number, since it is larger than the sum of its proper divisors (7001017323).

13131213333 is a wasteful number, since it uses less digits than its factorization.

13131213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836344.

The product of its digits is 1458, while the sum is 24.

Adding to 13131213333 its reverse (33331213131), we get a palindrome (46462426464).

The spelling of 13131213333 in words is "thirteen billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 7 21 163 489 1141 3423 3836171 11508513 26853197 80559591 625295873 1875887619 4377071111 13131213333