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13133201013121 = 7377940111171433
BaseRepresentation
bin1011111100011100111111…
…0001111111100110000001
31201111112002100201002101211
42333013033301333212001
53210133243424404441
643533150444330121
72523561651465460
oct277071761774601
951445070632354
1013133201013121
114203839654412
121581376543941
137435bca94947
143359166a09d7
1517b958548a81
hexbf1cfc7f981

13133201013121 has 64 divisors (see below), whose sum is σ = 15674026567680. Its totient is φ = 10769996390400.

The previous prime is 13133201013113. The next prime is 13133201013167. The reversal of 13133201013121 is 12131010233131.

It is a cyclic number.

It is not a de Polignac number, because 13133201013121 - 23 = 13133201013113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13133201013092 and 13133201013101.

It is not an unprimeable number, because it can be changed into a prime (13133201013421) 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, 9164829021 + ... + 9164830453.

It is an arithmetic number, because the mean of its divisors is an integer number (244906665120).

Almost surely, 213133201013121 is an apocalyptic number.

It is an amenable number.

13133201013121 is a deficient number, since it is larger than the sum of its proper divisors (2540825554559).

13133201013121 is a wasteful number, since it uses less digits than its factorization.

13133201013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13133201013121 its reverse (12131010233131), we get a palindrome (25264211246252).

The spelling of 13133201013121 in words is "thirteen trillion, one hundred thirty-three billion, two hundred one million, thirteen thousand, one hundred twenty-one".

Divisors: 1 7 37 79 259 401 553 1117 1433 2807 2923 7819 10031 14837 20461 31679 41329 53021 88243 103859 113207 221753 289303 371147 447917 574633 617701 792449 1172123 1600661 3135419 3264991 4022431 4188659 8204861 11204627 16572929 21261421 22854937 29320613 35385443 45396007 59224457 116010503 126452219 148829947 247698101 317772049 414571199 641865061 885165533 1309261391 1679652259 4493055427 4678732103 9164829737 11757565813 23749007257 32751124721 50707339819 166243050799 354951378733 1876171573303 13133201013121