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13303101123331 = 311792397387119
BaseRepresentation
bin1100000110010101111010…
…0111011110101100000011
31202002202121222201221111021
43001211132213132230003
53220424222341421311
644143205453330311
72542055150550655
oct301453647365403
952082558657437
1013303101123331
1142698a4855938
1215aa291796997
13756628116436
1433dc32d746d5
1518109e212171
hexc195e9deb03

13303101123331 has 8 divisors (see below), whose sum is σ = 13808949811200. Its totient is φ = 12802047210120.

The previous prime is 13303101123307. The next prime is 13303101123371. The reversal of 13303101123331 is 13332110130331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13303101123331 is a prime.

It is a super-2 number, since 2×133031011233312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13303101123296 and 13303101123305.

It is not an unprimeable number, because it can be changed into a prime (13303101123371) 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 7 ways as a sum of consecutive naturals, for example, 1198688011 + ... + 1198699108.

It is an arithmetic number, because the mean of its divisors is an integer number (1726118726400).

Almost surely, 213303101123331 is an apocalyptic number.

13303101123331 is a deficient number, since it is larger than the sum of its proper divisors (505848687869).

13303101123331 is a wasteful number, since it uses less digits than its factorization.

13303101123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397387329.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13303101123331 its reverse (13332110130331), we get a palindrome (26635211253662).

The spelling of 13303101123331 in words is "thirteen trillion, three hundred three billion, one hundred one million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 31 179 5549 2397387119 74319000689 429132294301 13303101123331