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1323013330331 = 71123971891177
BaseRepresentation
bin10011010000001001101…
…111010101010110011011
311200110221001222202120222
4103100021233111112123
5133134012403032311
62451441155110255
7164404334521040
oct23201157252633
94613831882528
101323013330331
114700a5596960
121944aa5a238b
13979b4b72c74
1448069b471c7
15246344b9adb
hex13409bd559b

1323013330331 has 16 divisors (see below), whose sum is σ = 1656372741120. Its totient is φ = 1026605993280.

The previous prime is 1323013330273. The next prime is 1323013330349. The reversal of 1323013330331 is 1330333103231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1323013330331 is a prime.

It is a super-2 number, since 2×13230133303312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1323013330331.

It is not an unprimeable number, because it can be changed into a prime (1323013330361) 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, 35927186 + ... + 35963991.

It is an arithmetic number, because the mean of its divisors is an integer number (103523296320).

Almost surely, 21323013330331 is an apocalyptic number.

1323013330331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1323013330331 is a deficient number, since it is larger than the sum of its proper divisors (333359410789).

1323013330331 is a wasteful number, since it uses less digits than its factorization.

1323013330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71891434.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1323013330331 its reverse (1330333103231), we get a palindrome (2653346433562).

The spelling of 1323013330331 in words is "one trillion, three hundred twenty-three billion, thirteen million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 11 77 239 1673 2629 18403 71891177 503238239 790802947 5535620629 17181991303 120273939121 189001904333 1323013330331