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1313033213 is a prime number
BaseRepresentation
bin100111001000011…
…0100101111111101
310101111200222221202
41032100310233331
510142114030323
6334142505245
744352412112
oct11620645775
93344628852
101313033213
1161419a318
12307895225
1317c04c33b
14c6554909
157a416d28
hex4e434bfd

1313033213 has 2 divisors, whose sum is σ = 1313033214. Its totient is φ = 1313033212.

The previous prime is 1313033207. The next prime is 1313033221. The reversal of 1313033213 is 3123303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1293337369 + 19695844 = 35963^2 + 4438^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313033213 - 212 = 1313029117 is a prime.

It is a super-2 number, since 2×13130332132 = 3448112436882206738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313093213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656516606 + 656516607.

It is an arithmetic number, because the mean of its divisors is an integer number (656516607).

Almost surely, 21313033213 is an apocalyptic number.

It is an amenable number.

1313033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313033213 is an equidigital number, since it uses as much as digits as its factorization.

1313033213 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.

The square root of 1313033213 is about 36235.8001567511. The cubic root of 1313033213 is about 1095.0280326150.

Adding to 1313033213 its reverse (3123303131), we get a palindrome (4436336344).

The spelling of 1313033213 in words is "one billion, three hundred thirteen million, thirty-three thousand, two hundred thirteen".