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101320133021211 = 313313696712517
BaseRepresentation
bin10111000010011001101110…
…100010011000111000011011
3111021202002222021111102120010
4113002121232202120320123
5101240012113023134321
6555253454310533003
730225065230523526
oct2702315642307033
9437662867442503
10101320133021211
112a313699753175
12b44462b667163
13446c5a8350990
141b03cc61cbbbd
15baa880e89676
hex5c266e898e1b

101320133021211 has 64 divisors (see below), whose sum is σ = 150368257335296. Its totient is φ = 60326052635520.

The previous prime is 101320133021207. The next prime is 101320133021227. The reversal of 101320133021211 is 112120331023101.

It is not a de Polignac number, because 101320133021211 - 22 = 101320133021207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101320133029211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8094595725 + ... + 8094608241.

It is an arithmetic number, because the mean of its divisors is an integer number (2349504020864).

Almost surely, 2101320133021211 is an apocalyptic number.

101320133021211 is a deficient number, since it is larger than the sum of its proper divisors (49048124314085).

101320133021211 is an equidigital number, since it uses as much as digits as its factorization.

101320133021211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19531 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101320133021211 its reverse (112120331023101), we get a palindrome (213440464044312).

The spelling of 101320133021211 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-three million, twenty-one thousand, two hundred eleven".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 6967 12493 12517 20901 29791 37479 37551 89373 90571 162721 215977 271713 387283 388027 488163 647931 1161849 1164081 2807701 5044351 6695287 8423103 12028837 15133053 20085861 36086511 87038731 87205939 156374881 207553897 261116193 261617817 372893947 469124643 622661691 1118681841 1133677207 2698200661 2703384109 3401031621 4847621311 8094601983 8110152327 14542863933 35143993417 83804907379 105431980251 251414722137 1089463795927 2597952128749 3268391387781 7793856386247 33773377673737 101320133021211