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1020331302311 is a prime number
BaseRepresentation
bin11101101100100000111…
…11000001110110100111
310121112122122100121001202
432312100133001312213
5113204114303133221
62100422252513115
7133500521653616
oct16662037016647
93545578317052
101020331302311
113637a1469282
121458b6a7b79b
13752a84b0c39
143755472d87d
151b81b625d0b
hexed907c1da7

1020331302311 has 2 divisors, whose sum is σ = 1020331302312. Its totient is φ = 1020331302310.

The previous prime is 1020331302257. The next prime is 1020331302313. The reversal of 1020331302311 is 1132031330201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1020331302311 - 26 = 1020331302247 is a prime.

It is a super-3 number, since 3×10203313023113 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1020331302313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020331302313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510165651155 + 510165651156.

It is an arithmetic number, because the mean of its divisors is an integer number (510165651156).

Almost surely, 21020331302311 is an apocalyptic number.

1020331302311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020331302311 is an equidigital number, since it uses as much as digits as its factorization.

1020331302311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1020331302311 its reverse (1132031330201), we get a palindrome (2152362632512).

The spelling of 1020331302311 in words is "one trillion, twenty billion, three hundred thirty-one million, three hundred two thousand, three hundred eleven".