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331131000031213 is a prime number
BaseRepresentation
bin100101101001010010111000…
…1101000011000011111101101
31121102102210222201201212101011
41023102211301220120133231
5321400222242001444323
63132131251551145221
7126514265603623504
oct11322456150303755
91542383881655334
10331131000031213
1196565960a4a878
123117b4a5b15211
131129c699c32865
145baab7c44d83b
1528437258ed20d
hex12d2971a187ed

331131000031213 has 2 divisors, whose sum is σ = 331131000031214. Its totient is φ = 331131000031212.

The previous prime is 331131000031043. The next prime is 331131000031229. The reversal of 331131000031213 is 312130000131133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259262875096164 + 71868124935049 = 16101642^2 + 8477507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331131000031213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331131000031813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565500015606 + 165565500015607.

It is an arithmetic number, because the mean of its divisors is an integer number (165565500015607).

Almost surely, 2331131000031213 is an apocalyptic number.

It is an amenable number.

331131000031213 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131000031213 is an equidigital number, since it uses as much as digits as its factorization.

331131000031213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 331131000031213 its reverse (312130000131133), we get a palindrome (643261000162346).

The spelling of 331131000031213 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, thirty-one thousand, two hundred thirteen".