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1311031133001 = 3219312239110459
BaseRepresentation
bin10011000100111111100…
…010111000001101001001
311122100000000101001220200
4103010333202320031021
5132434442432224001
62442140203042413
7163501400522112
oct23047742701511
94570000331820
101311031133001
11466006994737
12192105810409
1396825602685
1447650641209
15241825b4086
hex1313f8b8349

1311031133001 has 48 divisors (see below), whose sum is σ = 2058620928000. Its totient is φ = 800944212960.

The previous prime is 1311031132993. The next prime is 1311031133011. The reversal of 1311031133001 is 1003311301131.

1311031133001 is a `hidden beast` number, since 13 + 1 + 10 + 311 + 330 + 0 + 1 = 666.

It is not a de Polignac number, because 1311031133001 - 23 = 1311031132993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311031133011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11813710 + ... + 11924168.

It is an arithmetic number, because the mean of its divisors is an integer number (42887936000).

Almost surely, 21311031133001 is an apocalyptic number.

It is an amenable number.

1311031133001 is a deficient number, since it is larger than the sum of its proper divisors (747589794999).

1311031133001 is a wasteful number, since it uses less digits than its factorization.

1311031133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112754 (or 112751 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1311031133001 its reverse (1003311301131), we get a palindrome (2314342434132).

The spelling of 1311031133001 in words is "one trillion, three hundred eleven billion, thirty-one million, one hundred thirty-three thousand, one".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 2239 5301 6717 20151 42541 69409 110459 127623 208227 331377 382869 624681 994131 1318771 2098721 3424229 3956313 6296163 10272687 11868939 18888489 30818061 65060351 195181053 247317701 585543159 741953103 2225859309 4699036319 7666848731 14097108957 23000546193 42291326871 69001638579 145670125889 437010377667 1311031133001