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1323212322133 = 131754049110777
BaseRepresentation
bin10011010000010101100…
…110011011010101010101
311200111102221102121000201
4103100111212123111111
5133134414323302013
62451513024140501
7164412302106052
oct23202546332525
94614387377021
101323212322133
11470197950399
12194545167731
1397a171663b0
1448088346029
1524646bc53dd
hex1341599b555

1323212322133 has 16 divisors (see below), whose sum is σ = 1508862826800. Its totient is φ = 1149546479616.

The previous prime is 1323212322119. The next prime is 1323212322139. The reversal of 1323212322133 is 3312232123231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2510310609 + 1320702011524 = 50103^2 + 1149218^2 .

It is a cyclic number.

It is not a de Polignac number, because 1323212322133 - 29 = 1323212321621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323212322139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11889441 + ... + 12000217.

It is an arithmetic number, because the mean of its divisors is an integer number (94303926675).

Almost surely, 21323212322133 is an apocalyptic number.

1323212322133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323212322133 is a deficient number, since it is larger than the sum of its proper divisors (185650504667).

1323212322133 is a wasteful number, since it uses less digits than its factorization.

1323212322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164856.

The product of its digits is 7776, while the sum is 28.

Adding to 1323212322133 its reverse (3312232123231), we get a palindrome (4635444445364).

The spelling of 1323212322133 in words is "one trillion, three hundred twenty-three billion, two hundred twelve million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 17 221 54049 110777 702637 918833 1440101 1883209 11944829 24481717 5987386073 77836018949 101785563241 1323212322133