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13011320331 = 3397251217
BaseRepresentation
bin11000001111000100…
…01111111000001011
31020120210002120001000
430013202033320023
5203121344222311
65551033430043
7640301253342
oct140742177013
936523076030
1013011320331
1155776075a9
12263156b323
1312c4836519
148b6074b59
1551243b056
hex30788fe0b

13011320331 has 24 divisors (see below), whose sum is σ = 19477181040. Its totient is φ = 8584621056.

The previous prime is 13011320323. The next prime is 13011320353. The reversal of 13011320331 is 13302311031.

It is a happy number.

13011320331 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 320 + 331 = 666.

13011320331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13011320331 - 23 = 13011320323 is a prime.

It is a super-2 number, since 2×130113203312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13011324331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228435 + ... + 279651.

It is an arithmetic number, because the mean of its divisors is an integer number (811549210).

Almost surely, 213011320331 is an apocalyptic number.

13011320331 is a deficient number, since it is larger than the sum of its proper divisors (6465860709).

13011320331 is an frugal number, since it uses more digits than its factorization.

13011320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51420 (or 51317 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13011320331 its reverse (13302311031), we get a palindrome (26313631362).

The spelling of 13011320331 in words is "thirteen billion, eleven million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 97 291 873 2619 9409 28227 51217 84681 153651 254043 460953 1382859 4968049 14904147 44712441 134137323 481900753 1445702259 4337106777 13011320331