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201332131033093 is a prime number
BaseRepresentation
bin101101110001110001001010…
…001001101111000000000101
3222101212011102101012010000021
4231301301022021233000011
5202342111201021024333
61552110412032415141
760256523615262424
oct5561611211570005
9871764371163007
10201332131033093
1159172528283245
121a6b76233a74b1
1388457000b3528
1437a07546612bb
15184219dc3582d
hexb71c4a26f005

201332131033093 has 2 divisors, whose sum is σ = 201332131033094. Its totient is φ = 201332131033092.

The previous prime is 201332131033091. The next prime is 201332131033139. The reversal of 201332131033093 is 390330131233102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180132018440929 + 21200112592164 = 13421327^2 + 4604358^2 .

It is a cyclic number.

It is not a de Polignac number, because 201332131033093 - 21 = 201332131033091 is a prime.

It is a super-2 number, since 2×2013321310330932 (a number of 29 digits) contains 22 as substring.

Together with 201332131033091, 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 (201332131033091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100666065516546 + 100666065516547.

It is an arithmetic number, because the mean of its divisors is an integer number (100666065516547).

Almost surely, 2201332131033093 is an apocalyptic number.

It is an amenable number.

201332131033093 is a deficient number, since it is larger than the sum of its proper divisors (1).

201332131033093 is an equidigital number, since it uses as much as digits as its factorization.

201332131033093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 34.

Adding to 201332131033093 its reverse (390330131233102), we get a palindrome (591662262266195).

The spelling of 201332131033093 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred thirty-one million, thirty-three thousand, ninety-three".