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213331000031 is a prime number
BaseRepresentation
bin1100011010101110000…
…1001011101011011111
3202101122101220122122022
43012223201023223133
511443400214000111
6242000343410355
721261353403212
oct3065341135337
9671571818568
10213331000031
11825228738a6
12354181539bb
131716a153b86
14a47a7ad779
1558389aa2db
hex31ab84badf

213331000031 has 2 divisors, whose sum is σ = 213331000032. Its totient is φ = 213331000030.

The previous prime is 213330999949. The next prime is 213331000037. The reversal of 213331000031 is 130000133312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213331000031 is a prime.

It is a super-2 number, since 2×2133310000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213330999973 and 213331000009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213331000037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106665500015 + 106665500016.

It is an arithmetic number, because the mean of its divisors is an integer number (106665500016).

Almost surely, 2213331000031 is an apocalyptic number.

213331000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213331000031 is an equidigital number, since it uses as much as digits as its factorization.

213331000031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 213331000031 its reverse (130000133312), we get a palindrome (343331133343).

The spelling of 213331000031 in words is "two hundred thirteen billion, three hundred thirty-one million, thirty-one", and thus it is an aban number.