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1312333102033 is a prime number
BaseRepresentation
bin10011000110001101001…
…001011111101111010001
311122110100202020221122221
4103012031021133233101
5133000124233231113
62442513312501041
7163545560213152
oct23061511375721
94573322227587
101312333102033
114666149072a8
1219240984a781
13969a2279955
1447735515929
152420ba4298d
hex1318d25fbd1

1312333102033 has 2 divisors, whose sum is σ = 1312333102034. Its totient is φ = 1312333102032.

The previous prime is 1312333101973. The next prime is 1312333102037. The reversal of 1312333102033 is 3302013332131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1169095075009 + 143238027024 = 1081247^2 + 378468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312333102033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312333101989 and 1312333102007.

It is not a weakly prime, because it can be changed into another prime (1312333102037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656166551016 + 656166551017.

It is an arithmetic number, because the mean of its divisors is an integer number (656166551017).

Almost surely, 21312333102033 is an apocalyptic number.

It is an amenable number.

1312333102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312333102033 is an equidigital number, since it uses as much as digits as its factorization.

1312333102033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1312333102033 its reverse (3302013332131), we get a palindrome (4614346434164).

The spelling of 1312333102033 in words is "one trillion, three hundred twelve billion, three hundred thirty-three million, one hundred two thousand, thirty-three".