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1113023013313 is a prime number
BaseRepresentation
bin10000001100100101010…
…101110110000111000001
310221101220111011101112011
4100030211111312013001
5121213432342411223
62211152105532521
7143261514341251
oct20144525660701
93841814141464
101113023013313
1139a037524712
1215b8651a4141
1380c5ab76b03
143bc28d03961
151de43e4b80d
hex103255761c1

1113023013313 has 2 divisors, whose sum is σ = 1113023013314. Its totient is φ = 1113023013312.

The previous prime is 1113023013307. The next prime is 1113023013353. The reversal of 1113023013313 is 3133103203111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1002225236544 + 110797776769 = 1001112^2 + 332863^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113023013313 - 25 = 1113023013281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1113023013353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556511506656 + 556511506657.

It is an arithmetic number, because the mean of its divisors is an integer number (556511506657).

Almost surely, 21113023013313 is an apocalyptic number.

It is an amenable number.

1113023013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113023013313 is an equidigital number, since it uses as much as digits as its factorization.

1113023013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1113023013313 its reverse (3133103203111), we get a palindrome (4246126216424).

The spelling of 1113023013313 in words is "one trillion, one hundred thirteen billion, twenty-three million, thirteen thousand, three hundred thirteen".