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12131021131333 = 131317123324211
BaseRepresentation
bin1011000010000111100100…
…1101001000111001000101
31120221201021201110012021021
42300201321031020321011
53042223312402200313
641444525243351141
72361303004161106
oct260417115107105
946851251405237
1012131021131333
1139578121a0025
12143b0a65224b1
1369cc47cbc930
142dd2049363ad
1516085073b78d
hexb0879348e45

12131021131333 has 8 divisors (see below), whose sum is σ = 13163903143776. Its totient is φ = 11112385767600.

The previous prime is 12131021131319. The next prime is 12131021131351. The reversal of 12131021131333 is 33313112013121.

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

It is not a de Polignac number, because 12131021131333 - 225 = 12130987576901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131021131298 and 12131021131307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131021131633) 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 7 ways as a sum of consecutive naturals, for example, 3561660403 + ... + 3561663808.

It is an arithmetic number, because the mean of its divisors is an integer number (1645487892972).

Almost surely, 212131021131333 is an apocalyptic number.

12131021131333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12131021131333 is a deficient number, since it is larger than the sum of its proper divisors (1032882012443).

12131021131333 is a wasteful number, since it uses less digits than its factorization.

12131021131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123324355.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 12131021131333 its reverse (33313112013121), we get a palindrome (45444133144454).

The spelling of 12131021131333 in words is "twelve trillion, one hundred thirty-one billion, twenty-one million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 13 131 1703 7123324211 92603214743 933155471641 12131021131333