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331132012032313 is a prime number
BaseRepresentation
bin100101101001010011010110…
…1111100110111000100111001
31121102102220121020222211220101
41023102212231330313010321
5321400231330040013223
63132131540221555401
7126514332642530152
oct11322465574670471
91542386536884811
10331132012032313
1196566330220218
123117b728a15b61
131129c7cb7b238b
145baac36a02929
1528437846a04ad
hex12d29adf37139

331132012032313 has 2 divisors, whose sum is σ = 331132012032314. Its totient is φ = 331132012032312.

The previous prime is 331132012032299. The next prime is 331132012032347. The reversal of 331132012032313 is 313230210231133.

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., 269603001446464 + 61529010585849 = 16419592^2 + 7844043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331132012032313 is a prime.

It is a super-2 number, since 2×3311320120323132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331132012032383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566006016156 + 165566006016157.

It is an arithmetic number, because the mean of its divisors is an integer number (165566006016157).

Almost surely, 2331132012032313 is an apocalyptic number.

It is an amenable number.

331132012032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132012032313 is an equidigital number, since it uses as much as digits as its factorization.

331132012032313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 331132012032313 its reverse (313230210231133), we get a palindrome (644362222263446).

The spelling of 331132012032313 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, twelve million, thirty-two thousand, three hundred thirteen".