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330131010131233 is a prime number
BaseRepresentation
bin100101100010000001001110…
…1100101101001010100100001
31121021220012211201022120111221
41023010002131211221110201
5321232331302043144413
63130044031541135041
7126352115121001543
oct11304023545512441
91537805751276457
10330131010131233
119620a8587a3203
12310397273ba481
13112292b3a9227c
145b745d74b5693
1528276e9ece68d
hex12c409d969521

330131010131233 has 2 divisors, whose sum is σ = 330131010131234. Its totient is φ = 330131010131232.

The previous prime is 330131010131203. The next prime is 330131010131239. The reversal of 330131010131233 is 332131010131033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329910116711184 + 220893420049 = 18163428^2 + 469993^2 .

It is a cyclic number.

It is not a de Polignac number, because 330131010131233 - 213 = 330131010123041 is a prime.

It is a super-3 number, since 3×3301310101312333 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330131010131198 and 330131010131207.

It is not a weakly prime, because it can be changed into another prime (330131010131239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165065505065616 + 165065505065617.

It is an arithmetic number, because the mean of its divisors is an integer number (165065505065617).

Almost surely, 2330131010131233 is an apocalyptic number.

It is an amenable number.

330131010131233 is a deficient number, since it is larger than the sum of its proper divisors (1).

330131010131233 is an equidigital number, since it uses as much as digits as its factorization.

330131010131233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 330131010131233 its reverse (332131010131033), we get a palindrome (662262020262266).

The spelling of 330131010131233 in words is "three hundred thirty trillion, one hundred thirty-one billion, ten million, one hundred thirty-one thousand, two hundred thirty-three".