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1320103220133 = 331373674912129
BaseRepresentation
bin10011001101011100010…
…010001001001110100101
311200012102021002211212210
4103031130102021032211
5133112032411021013
62450240321234033
7164242250141535
oct23153422111645
94605367084783
101320103220133
11469941942005
12193a17a92919
139763cca2479
1447c7145d4c5
1524513c7ecc3
hex1335c4893a5

1320103220133 has 64 divisors (see below), whose sum is σ = 1875798097920. Its totient is φ = 824332723200.

The previous prime is 1320103220089. The next prime is 1320103220143. The reversal of 1320103220133 is 3310223010231.

It is not a de Polignac number, because 1320103220133 - 26 = 1320103220069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320103220143) 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 63 ways as a sum of consecutive naturals, for example, 620056813 + ... + 620058941.

It is an arithmetic number, because the mean of its divisors is an integer number (29309345280).

Almost surely, 21320103220133 is an apocalyptic number.

It is an amenable number.

1320103220133 is a deficient number, since it is larger than the sum of its proper divisors (555694877787).

1320103220133 is a wasteful number, since it uses less digits than its factorization.

1320103220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1320103220133 its reverse (3310223010231), we get a palindrome (4630326230364).

The spelling of 1320103220133 in words is "one trillion, three hundred twenty billion, one hundred three million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 31 37 93 111 367 491 1101 1147 1473 2129 3441 6387 11377 13579 15221 18167 34131 40737 45663 54501 65999 78773 180197 197997 236319 420949 540591 563177 781343 1045339 1262847 1689531 2344029 2441963 3136017 5586107 6667289 7325889 16758321 20001867 24221633 28909691 32405509 38677543 72664899 86729073 97216527 116032629 206685959 383639413 620057877 896200421 1150918239 1199003833 2688601263 3597011499 11892821803 14194658281 35678465409 42583974843 440034406711 1320103220133