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1000313213033 is a prime number
BaseRepresentation
bin11101000111001110101…
…00000101000001101001
310112121222112210021222202
432203213110011001221
5112342120140304113
62043312035425545
7132161460006401
oct16434724050151
93477875707882
101000313213033
11356259804542
12141a4aa552b5
13734381417b4
14365b5c99801
151b048ed5258
hexe8e7505069

1000313213033 has 2 divisors, whose sum is σ = 1000313213034. Its totient is φ = 1000313213032.

The previous prime is 1000313212999. The next prime is 1000313213041. The reversal of 1000313213033 is 3303123130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799974614569 + 200338598464 = 894413^2 + 447592^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000313213033 - 216 = 1000313147497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000313212996 and 1000313213014.

It is not a weakly prime, because it can be changed into another prime (1000313213533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500156606516 + 500156606517.

It is an arithmetic number, because the mean of its divisors is an integer number (500156606517).

Almost surely, 21000313213033 is an apocalyptic number.

It is an amenable number.

1000313213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313213033 is an equidigital number, since it uses as much as digits as its factorization.

1000313213033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1000313213033 its reverse (3303123130001), we get a palindrome (4303436343034).

The spelling of 1000313213033 in words is "one trillion, three hundred thirteen million, two hundred thirteen thousand, thirty-three".