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2101033313 is a prime number
BaseRepresentation
bin111110100111011…
…0011100101100001
312102102110112212122
41331032303211201
513300331031223
6544252234025
7103031326361
oct17516634541
95372415778
102101033313
11988a84475
124a776b915
132763902a2
1415d0789a1
15c46bd5c8
hex7d3b3961

2101033313 has 2 divisors, whose sum is σ = 2101033314. Its totient is φ = 2101033312.

The previous prime is 2101033307. The next prime is 2101033331. The reversal of 2101033313 is 3133301012.

Together with next prime (2101033331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1573550224 + 527483089 = 39668^2 + 22967^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101033313 - 228 = 1832597857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101033291 and 2101033300.

It is not a weakly prime, because it can be changed into another prime (2101033303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050516656 + 1050516657.

It is an arithmetic number, because the mean of its divisors is an integer number (1050516657).

Almost surely, 22101033313 is an apocalyptic number.

It is an amenable number.

2101033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101033313 is an equidigital number, since it uses as much as digits as its factorization.

2101033313 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 17.

The square root of 2101033313 is about 45837.0299321411. The cubic root of 2101033313 is about 1280.7891684991.

Adding to 2101033313 its reverse (3133301012), we get a palindrome (5234334325).

The spelling of 2101033313 in words is "two billion, one hundred one million, thirty-three thousand, three hundred thirteen".