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3331331010131 is a prime number
BaseRepresentation
bin110000011110100010110…
…011010010111001010011
3102210110202012000112012212
4300132202303102321103
5414040031214311011
611030220424542335
7462452326242335
oct60364263227123
912713665015185
103331331010131
11107489a564683
124597740219ab
131b21b26c8557
14b7347157455
155b9c77e508b
hex307a2cd2e53

3331331010131 has 2 divisors, whose sum is σ = 3331331010132. Its totient is φ = 3331331010130.

The previous prime is 3331331010061. The next prime is 3331331010149. The reversal of 3331331010131 is 1310101331333.

3331331010131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3331331010131 is a prime.

It is a super-2 number, since 2×33313310101312 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 3331331010097 and 3331331010106.

It is not a weakly prime, because it can be changed into another prime (3331331010431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665665505065 + 1665665505066.

It is an arithmetic number, because the mean of its divisors is an integer number (1665665505066).

Almost surely, 23331331010131 is an apocalyptic number.

3331331010131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331331010131 is an equidigital number, since it uses as much as digits as its factorization.

3331331010131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 3331331010131 its reverse (1310101331333), we get a palindrome (4641432341464).

The spelling of 3331331010131 in words is "three trillion, three hundred thirty-one billion, three hundred thirty-one million, ten thousand, one hundred thirty-one".