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1331301111311 is a prime number
BaseRepresentation
bin10011010111110111101…
…110101101011000001111
311201021022122220122210002
4103113313232231120033
5133303001041030221
62455331415034515
7165116611506563
oct23276756553017
94637278818702
101331301111311
11473668852426
1219602206ba3b
1398705bc6292
14486147236a3
152496bdad80b
hex135f7bad60f

1331301111311 has 2 divisors, whose sum is σ = 1331301111312. Its totient is φ = 1331301111310.

The previous prime is 1331301111289. The next prime is 1331301111331. The reversal of 1331301111311 is 1131111031331.

It is a happy number.

It is an a-pointer prime, because the next prime (1331301111331) can be obtained adding 1331301111311 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1331301111311 - 222 = 1331296917007 is a prime.

It is a super-2 number, since 2×13313011113112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331301111331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665650555655 + 665650555656.

It is an arithmetic number, because the mean of its divisors is an integer number (665650555656).

Almost surely, 21331301111311 is an apocalyptic number.

1331301111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331301111311 is an equidigital number, since it uses as much as digits as its factorization.

1331301111311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 1331301111311 its reverse (1131111031331), we get a palindrome (2462412142642).

The spelling of 1331301111311 in words is "one trillion, three hundred thirty-one billion, three hundred one million, one hundred eleven thousand, three hundred eleven".