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331013432133953 is a prime number
BaseRepresentation
bin100101101000011100001001…
…0000010011100100101000001
31121102000120112012222212121222
41023100320102002130211001
5321341311002111241303
63132001245455124425
7126502634266161602
oct11320702202344501
91542016465885558
10331013432133953
119652000aa34518
1231160754813715
131129158189424a
145ba51c8121da9
152840644210938
hex12d0e1209c941

331013432133953 has 2 divisors, whose sum is σ = 331013432133954. Its totient is φ = 331013432133952.

The previous prime is 331013432133887. The next prime is 331013432134037. The reversal of 331013432133953 is 359331234310133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173455406041009 + 157558026092944 = 13170247^2 + 12552212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331013432133953 is a prime.

It is not a weakly prime, because it can be changed into another prime (331013432103953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506716066976 + 165506716066977.

It is an arithmetic number, because the mean of its divisors is an integer number (165506716066977).

Almost surely, 2331013432133953 is an apocalyptic number.

It is an amenable number.

331013432133953 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013432133953 is an equidigital number, since it uses as much as digits as its factorization.

331013432133953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 787320, while the sum is 44.

The spelling of 331013432133953 in words is "three hundred thirty-one trillion, thirteen billion, four hundred thirty-two million, one hundred thirty-three thousand, nine hundred fifty-three".