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12331133122133 = 714557712100747
BaseRepresentation
bin1011001101110001000011…
…0011110011011001010101
31121122211210212110121021002
42303130100303303121111
53104013130034402013
642120502214033045
72411615655060650
oct263342063633125
947584725417232
1012331133122133
113a246711a2601
121471a33648785
136b5a89590347
14308b8984a897
15165b63933358
hexb3710cf3655

12331133122133 has 8 divisors (see below), whose sum is σ = 14092821538752. Its totient is φ = 10569469198176.

The previous prime is 12331133122129. The next prime is 12331133122171. The reversal of 12331133122133 is 33122133113321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12331133122133 - 22 = 12331133122129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331133122096 and 12331133122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331133122733) 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 7 ways as a sum of consecutive naturals, for example, 5031335 + ... + 7069412.

It is an arithmetic number, because the mean of its divisors is an integer number (1761602692344).

Almost surely, 212331133122133 is an apocalyptic number.

It is an amenable number.

12331133122133 is a deficient number, since it is larger than the sum of its proper divisors (1761688416619).

12331133122133 is a wasteful number, since it uses less digits than its factorization.

12331133122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246331.

The product of its digits is 5832, while the sum is 29.

Adding to 12331133122133 its reverse (33122133113321), we get a palindrome (45453266235454).

The spelling of 12331133122133 in words is "twelve trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 145577 1019039 12100747 84705229 1761590446019 12331133122133