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2133033202031 is a prime number
BaseRepresentation
bin11111000010100010101…
…011111011000101101111
321112220201202021201112212
4133002202223323011233
5234421422444431111
64311522452121035
7310051360031024
oct37024253730557
97486652251485
102133033202031
117526836a8556
122a549060617b
131261b49769b4
147534cb2554b
153a74229298b
hex1f0a2afb16f

2133033202031 has 2 divisors, whose sum is σ = 2133033202032. Its totient is φ = 2133033202030.

The previous prime is 2133033201961. The next prime is 2133033202033. The reversal of 2133033202031 is 1302023303312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2133033202031 is a prime.

It is a super-2 number, since 2×21330332020312 (a number of 25 digits) contains 22 as substring.

Together with 2133033202033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133033201988 and 2133033202006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133033202033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066516601015 + 1066516601016.

It is an arithmetic number, because the mean of its divisors is an integer number (1066516601016).

Almost surely, 22133033202031 is an apocalyptic number.

2133033202031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133033202031 is an equidigital number, since it uses as much as digits as its factorization.

2133033202031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2133033202031 its reverse (1302023303312), we get a palindrome (3435056505343).

The spelling of 2133033202031 in words is "two trillion, one hundred thirty-three billion, thirty-three million, two hundred two thousand, thirty-one".