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13133300201021 = 7111322414187737
BaseRepresentation
bin1011111100011101010110…
…1100010111011000111101
31201111112100021100100121202
42333013111230113120331
53210133444322413041
643533204350305245
72523564264536150
oct277072554273075
951445307310552
1013133300201021
11420388a640790
1215813a37b8225
137436074b2900
1433592591dc97
1517b9620dca9b
hexbf1d5b1763d

13133300201021 has 48 divisors (see below), whose sum is σ = 17803983846528. Its totient is φ = 9407330150400.

The previous prime is 13133300201003. The next prime is 13133300201051. The reversal of 13133300201021 is 12010200333131.

It is not a de Polignac number, because 13133300201021 - 238 = 12858422294077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13133300200984 and 13133300201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133300201051) 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, 1042265 + ... + 5230001.

It is an arithmetic number, because the mean of its divisors is an integer number (370916330136).

Almost surely, 213133300201021 is an apocalyptic number.

13133300201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133300201021 is a deficient number, since it is larger than the sum of its proper divisors (4670683645507).

13133300201021 is a wasteful number, since it uses less digits than its factorization.

13133300201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188022 (or 4188009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133300201021 its reverse (12010200333131), we get a palindrome (25143500534152).

The spelling of 13133300201021 in words is "thirteen trillion, one hundred thirty-three billion, three hundred million, two hundred one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 169 241 1001 1183 1687 1859 2651 3133 13013 18557 21931 34463 40729 241241 285103 448019 3136133 4187737 29314159 46065107 54440581 322455749 381084067 598846391 707727553 1009244617 4191924737 4954092871 7064712319 7785003083 11101690787 13120180021 54495021581 77711835509 91841260147 144321980231 170562340273 1010253861617 1193936381911 1876185743003 13133300201021