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1033132011101 is a prime number
BaseRepresentation
bin11110000100010110111…
…01110110111001011101
310122202200202010222101022
433002023131312321131
5113411323243323401
62110340404253525
7134432655125411
oct17021335667135
93582622128338
101033132011101
113691700a5253
121482899a12a5
13765684b6138
143800a81cd41
151bd1a30d71b
hexf08b776e5d

1033132011101 has 2 divisors, whose sum is σ = 1033132011102. Its totient is φ = 1033132011100.

The previous prime is 1033132011091. The next prime is 1033132011137. The reversal of 1033132011101 is 1011102313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 547844227225 + 485287783876 = 740165^2 + 696626^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033132011101 - 222 = 1033127816797 is a prime.

It is a super-4 number, since 4×10331320111014 (a number of 49 digits) contains 4444 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1033132011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033132011161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516566005550 + 516566005551.

It is an arithmetic number, because the mean of its divisors is an integer number (516566005551).

Almost surely, 21033132011101 is an apocalyptic number.

It is an amenable number.

1033132011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033132011101 is an equidigital number, since it uses as much as digits as its factorization.

1033132011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1033132011101 its reverse (1011102313301), we get a palindrome (2044234324402).

The spelling of 1033132011101 in words is "one trillion, thirty-three billion, one hundred thirty-two million, eleven thousand, one hundred one".