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331131300233101 is a prime number
BaseRepresentation
bin100101101001010011000001…
…1100001100011111110001101
31121102102211202122121200221121
41023102212003201203332031
5321400223400324424401
63132131341433400541
7126514306210403614
oct11322460341437615
91542384678550847
10331131300233101
1196565aa5451a05
123117b56a569151
131129c7171a1504
145baabaa27687b
152843741e4bca1
hex12d2983863f8d

331131300233101 has 2 divisors, whose sum is σ = 331131300233102. Its totient is φ = 331131300233100.

The previous prime is 331131300233093. The next prime is 331131300233147. The reversal of 331131300233101 is 101332003131133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326335156433001 + 4796143800100 = 18064749^2 + 2190010^2 .

It is a cyclic number.

It is not a de Polignac number, because 331131300233101 - 23 = 331131300233093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331131300236101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565650116550 + 165565650116551.

It is an arithmetic number, because the mean of its divisors is an integer number (165565650116551).

Almost surely, 2331131300233101 is an apocalyptic number.

It is an amenable number.

331131300233101 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131300233101 is an equidigital number, since it uses as much as digits as its factorization.

331131300233101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 331131300233101 its reverse (101332003131133), we get a palindrome (432463303364234).

The spelling of 331131300233101 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred million, two hundred thirty-three thousand, one hundred one".