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213121201312033 = 71728615531113177
BaseRepresentation
bin110000011101010100100101…
…011111111001000100100001
31000221121012001221210011122121
4300131110211133321010201
5210413234210013441113
62033134310034504241
762614333021253110
oct6035244537710441
91027535057704577
10213121201312033
11619a821509a723
121baa0397135081
1391bc320c95081
143a8b19a743c77
151998b88dc5e8d
hexc1d5257f9121

213121201312033 has 32 divisors (see below), whose sum is σ = 258033627641088. Its totient is φ = 171837022156800.

The previous prime is 213121201312031. The next prime is 213121201312081. The reversal of 213121201312033 is 330213102121312.

It is not a de Polignac number, because 213121201312033 - 21 = 213121201312031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213121201311989 and 213121201312007.

It is not an unprimeable number, because it can be changed into a prime (213121201312031) 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 31 ways as a sum of consecutive naturals, for example, 1883022141 + ... + 1883135317.

It is an arithmetic number, because the mean of its divisors is an integer number (8063550863784).

Almost surely, 2213121201312033 is an apocalyptic number.

It is an amenable number.

213121201312033 is a deficient number, since it is larger than the sum of its proper divisors (44912426329055).

213121201312033 is a wasteful number, since it uses less digits than its factorization.

213121201312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121593.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213121201312033 its reverse (330213102121312), we get a palindrome (543334303433345).

The spelling of 213121201312033 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred one million, three hundred twelve thousand, thirty-three".

Divisors: 1 7 17 119 2861 5531 20027 38717 48637 94027 113177 340459 658189 792239 1924009 13468063 15824191 110769337 269011247 323799397 625981987 1883078729 2266595779 4381873909 5504589749 10641693779 38532128243 74491856453 1790934464807 12536541253649 30445885901719 213121201312033