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131313022231233 = 33115131133199059
BaseRepresentation
bin11101110110110110110010…
…000010110110001011000001
3122012221101212021222121222110
4131312312302002312023001
5114202413032142344413
61143140211501125533
736442024050421653
oct3566666202661301
9565841767877873
10131313022231233
11389275a37a9497
12128894155598a9
1358369c353619b
14245d82701c6d3
15102ab468628c3
hex776db20b62c1

131313022231233 has 64 divisors (see below), whose sum is σ = 182588925542400. Its totient is φ = 83851898760000.

The previous prime is 131313022231189. The next prime is 131313022231247. The reversal of 131313022231233 is 332132220313131.

131313022231233 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131313022231233 - 26 = 131313022231169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131313022231233.

It is not an unprimeable number, because it can be changed into a prime (131313022231033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14495306458 + ... + 14495315516.

It is an arithmetic number, because the mean of its divisors is an integer number (2852951961600).

Almost surely, 2131313022231233 is an apocalyptic number.

It is an amenable number.

131313022231233 is a deficient number, since it is larger than the sum of its proper divisors (51275903311167).

131313022231233 is a wasteful number, since it uses less digits than its factorization.

131313022231233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12874.

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

Adding to 131313022231233 its reverse (332132220313131), we get a palindrome (463445242544364).

The spelling of 131313022231233 in words is "one hundred thirty-one trillion, three hundred thirteen billion, twenty-two million, two hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 31 93 151 311 453 933 3319 4681 9059 9641 9957 14043 27177 28923 46961 102889 140883 280829 308667 501169 842487 1032209 1367909 1455791 1503507 2817349 3096627 4103727 4367373 8452047 15536239 30066821 31998479 42405179 46608717 87337819 90200463 95995437 127215537 155863559 262013457 425419699 467590677 932071451 1276259097 2796214353 4540089971 4831770329 9350781331 13188010669 13620269913 14495310987 28052343993 39564032007 140742789101 289874221261 422228367303 869622663783 1411967980981 4235903942943 43771007410411 131313022231233