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313020313 is a prime number
BaseRepresentation
bin10010101010000…
…100111110011001
3210211000002010221
4102222010332121
51120113122223
651021040041
710520425444
oct2252047631
9724002127
10313020313
11150767881
12889b6021
134cb09328
142d80265b
151c731b5d
hex12a84f99

313020313 has 2 divisors, whose sum is σ = 313020314. Its totient is φ = 313020312.

The previous prime is 313020289. The next prime is 313020319.

313020313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257025024 + 55995289 = 16032^2 + 7483^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313020313 is a prime.

It is not a weakly prime, because it can be changed into another prime (313020319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156510156 + 156510157.

It is an arithmetic number, because the mean of its divisors is an integer number (156510157).

Almost surely, 2313020313 is an apocalyptic number.

It is an amenable number.

313020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313020313 is an equidigital number, since it uses as much as digits as its factorization.

313020313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313020313 is about 17692.3800829623. The cubic root of 313020313 is about 678.9808211206.

The spelling of 313020313 in words is "three hundred thirteen million, twenty thousand, three hundred thirteen".