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13121202133311 = 31632113373531069
BaseRepresentation
bin1011111011110000010010…
…0101111001100100111111
31201110101010010200211122220
42332330010211321210333
53204434210221231221
643523444054540423
72522655422625546
oct276740445714477
951411103624586
1013121202133311
1141a9741598418
12157ab88067713
13742429c32c6c
143350d8c9515d
1517b4a4e4a0c6
hexbef0497993f

13121202133311 has 64 divisors (see below), whose sum is σ = 17805059950080. Its totient is φ = 8594438307840.

The previous prime is 13121202133301. The next prime is 13121202133331. The reversal of 13121202133311 is 11333120212131.

It is not a de Polignac number, because 13121202133311 - 210 = 13121202132287 is a prime.

It is a super-3 number, since 3×131212021333113 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121202133301) 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, 12274276485 + ... + 12274277553.

It is an arithmetic number, because the mean of its divisors is an integer number (278204061720).

Almost surely, 213121202133311 is an apocalyptic number.

13121202133311 is a deficient number, since it is larger than the sum of its proper divisors (4683857816769).

13121202133311 is a wasteful number, since it uses less digits than its factorization.

13121202133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13121202133311 its reverse (11333120212131), we get a palindrome (24454322345442).

The spelling of 13121202133311 in words is "thirteen trillion, one hundred twenty-one billion, two hundred two million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 163 211 337 353 489 633 1011 1059 1069 3207 34393 54931 57539 71107 74483 103179 118961 164793 172617 174247 213321 223449 225559 356883 360253 377357 522741 676677 1080759 1132071 11590441 12140729 19390643 25100771 34771323 36422187 36766117 58171929 58721239 61509191 75302313 76013383 79622327 110298351 127169309 176163717 184527573 228040149 238866981 381507927 4091425673 12274277019 12390181429 12978439301 20728597367 26832724199 37170544287 38935317903 62185792101 80498172597 4373734044437 13121202133311