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13303411430331 = 311236648516337
BaseRepresentation
bin1100000110010111000100…
…0111001101001110111011
31202002210102121122011200010
43001211301013031032323
53220430341311232311
644143300340313003
72542065636246051
oct301456107151673
952083377564603
1013303411430331
114269a43a2a100
1215aa3596a2763
137566774b2749
1433dc6226c1d1
151810bb5a9da6
hexc19711cd3bb

13303411430331 has 12 divisors (see below), whose sum is σ = 19497010691816. Its totient is φ = 8062673593920.

The previous prime is 13303411430317. The next prime is 13303411430357.

13303411430331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13303411430331 - 210 = 13303411429307 is a prime.

It is a super-2 number, since 2×133034114303312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13303411430381) 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 11 ways as a sum of consecutive naturals, for example, 18324257806 + ... + 18324258531.

Almost surely, 213303411430331 is an apocalyptic number.

13303411430331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13303411430331 is a deficient number, since it is larger than the sum of its proper divisors (6193599261485).

13303411430331 is a wasteful number, since it uses less digits than its factorization.

13303411430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36648516362 (or 36648516351 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1330341 and 1430331, that added together give a palindrome (2760672).

The spelling of 13303411430331 in words is "thirteen trillion, three hundred three billion, four hundred eleven million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 363 36648516337 109945549011 403133679707 1209401039121 4434470476777 13303411430331