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13023300322331 = 1323293148655933
BaseRepresentation
bin1011110110000011100100…
…1100001000010000011011
31201010000102012011112122122
42331200321030020100123
53201333204340303311
643410453243211455
72512621344152315
oct275407114102033
951100365145578
1013023300322331
114171172573832
121564004b16b8b
13736127028cb0
1433048c76c7b5
15178b7501b0db
hexbd83930841b

13023300322331 has 16 divisors (see below), whose sum is σ = 14684827784256. Its totient is φ = 11459588486016.

The previous prime is 13023300322303. The next prime is 13023300322379. The reversal of 13023300322331 is 13322300332031.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13023300322331 is a prime.

It is a super-2 number, since 2×130233003223312 (a number of 27 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 13023300322331.

It is not an unprimeable number, because it can be changed into a prime (13023300322391) 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 15 ways as a sum of consecutive naturals, for example, 74240360 + ... + 74415573.

It is an arithmetic number, because the mean of its divisors is an integer number (917801736516).

Almost surely, 213023300322331 is an apocalyptic number.

13023300322331 is a deficient number, since it is larger than the sum of its proper divisors (1661527461925).

13023300322331 is a wasteful number, since it uses less digits than its factorization.

13023300322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148656262.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 13023300322331 its reverse (13322300332031), we get a palindrome (26345600654362).

The spelling of 13023300322331 in words is "thirteen trillion, twenty-three billion, three hundred million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 13 23 293 299 3809 6739 87607 148655933 1932527129 3419086459 43556188369 44448123967 566230448797 1001792332487 13023300322331