Search a number
-
+
13211331313 = 194116959347
BaseRepresentation
bin11000100110111010…
…01110101011110001
31021002201110011112011
430103131032223301
5204024100100223
610022540402521
7645250314625
oct142335165361
937081404464
1013211331313
11566a4a7834
122688546441
1313270c580b
148d485b185
15524c9880d
hex31374eaf1

13211331313 has 8 divisors (see below), whose sum is σ = 14245852320. Its totient is φ = 12210729120.

The previous prime is 13211331277. The next prime is 13211331317. The reversal of 13211331313 is 31313311231.

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

It is a cyclic number.

It is not a de Polignac number, because 13211331313 - 229 = 12674460401 is a prime.

It is a super-3 number, since 3×132113313133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13211331317) 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 7 ways as a sum of consecutive naturals, for example, 8478895 + ... + 8480452.

It is an arithmetic number, because the mean of its divisors is an integer number (1780731540).

Almost surely, 213211331313 is an apocalyptic number.

It is an amenable number.

13211331313 is a deficient number, since it is larger than the sum of its proper divisors (1034521007).

13211331313 is a wasteful number, since it uses less digits than its factorization.

13211331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16959407.

The product of its digits is 486, while the sum is 22.

Adding to 13211331313 its reverse (31313311231), we get a palindrome (44524642544).

The spelling of 13211331313 in words is "thirteen billion, two hundred eleven million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 19 41 779 16959347 322227593 695333227 13211331313