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1131323313213 = 321723093202369
BaseRepresentation
bin10000011101101000000…
…111111100110000111101
311000011010212101221120100
4100131220013330300331
5122013422232010323
62223420040511313
7144510150332262
oct20355007746075
94004125357510
101131323313213
113a6878575905
12163311a7b539
13828b637b832
143ca83581269
151e665872943
hex107681fcc3d

1131323313213 has 24 divisors (see below), whose sum is σ = 1731009079800. Its totient is φ = 709542273024.

The previous prime is 1131323313163. The next prime is 1131323313311. The reversal of 1131323313213 is 3123133231311.

1131323313213 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 2 + 331 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 400267532889 + 731055780324 = 632667^2 + 855018^2 .

It is a de Polignac number, because none of the positive numbers 2k-1131323313213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131323313413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247908 + ... + 1954461.

It is an arithmetic number, because the mean of its divisors is an integer number (72125378325).

Almost surely, 21131323313213 is an apocalyptic number.

It is an amenable number.

1131323313213 is a deficient number, since it is larger than the sum of its proper divisors (599685766587).

1131323313213 is a wasteful number, since it uses less digits than its factorization.

1131323313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204701 (or 3204698 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1131323313213 its reverse (3123133231311), we get a palindrome (4254456544524).

The spelling of 1131323313213 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 2309 6927 20781 39253 117759 353277 3202369 9607107 28821321 54440273 163320819 489962457 7394270021 22182810063 66548430189 125702590357 377107771071 1131323313213