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2032023133213 is a prime number
BaseRepresentation
bin11101100100011110000…
…001000101110000011101
321012021000012000120100221
4131210132001011300131
5231243040410230323
64153255403521341
7266544266434333
oct35443601056035
97167005016327
102032023133213
1171385a0a1837
122899a0529251
13119807b130c8
14704c9895b53
1537cce53855d
hex1d91e045c1d

2032023133213 has 2 divisors, whose sum is σ = 2032023133214. Its totient is φ = 2032023133212.

The previous prime is 2032023133211. The next prime is 2032023133229. The reversal of 2032023133213 is 3123313202302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1220101394724 + 811921738489 = 1104582^2 + 901067^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032023133213 - 21 = 2032023133211 is a prime.

Together with 2032023133211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2032023133211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016011566606 + 1016011566607.

It is an arithmetic number, because the mean of its divisors is an integer number (1016011566607).

Almost surely, 22032023133213 is an apocalyptic number.

It is an amenable number.

2032023133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032023133213 is an equidigital number, since it uses as much as digits as its factorization.

2032023133213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2032023133213 its reverse (3123313202302), we get a palindrome (5155336335515).

The spelling of 2032023133213 in words is "two trillion, thirty-two billion, twenty-three million, one hundred thirty-three thousand, two hundred thirteen".