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1133131213323 = 326764113072243
BaseRepresentation
bin10000011111010011111…
…000100010101000001011
311000022210212021210021200
4100133103320202220023
5122031123042311243
62224315302235243
7144603022252134
oct20372370425013
94008725253250
101133131213323
113a7616035a2a
12163737425b23
1382b13aa6705
143cbb5712c8b
151e71e43bad3
hex107d3e22a0b

1133131213323 has 48 divisors (see below), whose sum is σ = 1665780944256. Its totient is φ = 742085498880.

The previous prime is 1133131213303. The next prime is 1133131213327. The reversal of 1133131213323 is 3233121313311.

1133131213323 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 1 + 21 + 3 + 323 = 666.

It is not a de Polignac number, because 1133131213323 - 26 = 1133131213259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1133131213327) 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 47 ways as a sum of consecutive naturals, for example, 505184440 + ... + 505186682.

It is an arithmetic number, because the mean of its divisors is an integer number (34703769672).

Almost surely, 21133131213323 is an apocalyptic number.

1133131213323 is a deficient number, since it is larger than the sum of its proper divisors (532649730933).

1133131213323 is a wasteful number, since it uses less digits than its factorization.

1133131213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4261 counting only the distinct ones).

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

Adding to 1133131213323 its reverse (3233121313311), we get a palindrome (4366252526634).

The spelling of 1133131213323 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 67 201 603 641 1307 1923 2243 3921 5769 6729 11763 20187 42947 87569 128841 150281 262707 386523 450843 788121 837787 1352529 1437763 2513361 2931601 4313289 7540083 8794803 12939867 26384409 56131729 96330121 168395187 196417267 288990363 505185561 589251801 866971089 1767755403 1879156241 5637468723 16912406169 125903468147 377710404441 1133131213323