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1331130313323 = 32295100116143
BaseRepresentation
bin10011010111101101100…
…011001010101001101011
311201020212202112012222200
4103113231203022221223
5133302123330011243
62455302434151243
7165112435655346
oct23275543125153
94636782465880
101331130313323
114735903a5368
12195b94a22523
13986a96c4995
14485d9b8345d
152495bdc1ad3
hex135ed8caa6b

1331130313323 has 12 divisors (see below), whose sum is σ = 1989045296160. Its totient is φ = 856819511856.

The previous prime is 1331130313313. The next prime is 1331130313327. The reversal of 1331130313323 is 3233130311331.

1331130313323 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 303 + 1 + 3 + 323 = 666.

It is not a de Polignac number, because 1331130313323 - 216 = 1331130247787 is a prime.

It is a super-2 number, since 2×13311303133232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331130313327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2550057811 + ... + 2550058332.

It is an arithmetic number, because the mean of its divisors is an integer number (165753774680).

Almost surely, 21331130313323 is an apocalyptic number.

1331130313323 is a deficient number, since it is larger than the sum of its proper divisors (657914982837).

1331130313323 is a wasteful number, since it uses less digits than its factorization.

1331130313323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100116178 (or 5100116175 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1331130313323 its reverse (3233130311331), we get a palindrome (4564260624654).

The spelling of 1331130313323 in words is "one trillion, three hundred thirty-one billion, one hundred thirty million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 29 87 261 5100116143 15300348429 45901045287 147903368147 443710104441 1331130313323