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131003011331221 = 71107132712994759
BaseRepresentation
bin11101110010010110000011…
…111101000111010010010101
3122011211202200002210012002211
4131302112003331013102111
5114132323131400044341
61142341541431433421
736410440513306021
oct3562260375072225
9564752602705084
10131003011331221
1138818079722907
1212839317525871
1358136b96a1a03
14244c81851b381
151022a50391181
hex772583f47495

131003011331221 has 16 divisors (see below), whose sum is σ = 134190752993280. Its totient is φ = 127854384381360.

The previous prime is 131003011331189. The next prime is 131003011331239. The reversal of 131003011331221 is 122133110300131.

It is a cyclic number.

It is not a de Polignac number, because 131003011331221 - 25 = 131003011331189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131003011331192 and 131003011331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003011331021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583840 + ... + 16578598.

It is an arithmetic number, because the mean of its divisors is an integer number (8386922062080).

Almost surely, 2131003011331221 is an apocalyptic number.

It is an amenable number.

131003011331221 is a deficient number, since it is larger than the sum of its proper divisors (3187741662059).

131003011331221 is a wasteful number, since it uses less digits than its factorization.

131003011331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996264.

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

Adding to 131003011331221 its reverse (122133110300131), we get a palindrome (253136121631352).

The spelling of 131003011331221 in words is "one hundred thirty-one trillion, three billion, eleven million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 71 107 1327 7597 94217 141989 10081219 12994759 922627889 1390439213 17244045193 98721184123 1224327208703 1845112835651 131003011331221