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103013103313 is a prime number
BaseRepresentation
bin101111111110000001…
…1110011011011010001
3100211220011022211221201
41133330003303123101
53141432323301223
6115153520151201
710304521634161
oct1377403633321
9324804284851
10103013103313
113a76223622a
1217b6aa68501
139938b31203
144db32b85a1
152a2da1aead
hex17fc0f36d1

103013103313 has 2 divisors, whose sum is σ = 103013103314. Its totient is φ = 103013103312.

The previous prime is 103013103293. The next prime is 103013103329. The reversal of 103013103313 is 313301310301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79497494209 + 23515609104 = 281953^2 + 153348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103013103313 is a prime.

It is a super-2 number, since 2×1030131033132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103013103343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506551656 + 51506551657.

It is an arithmetic number, because the mean of its divisors is an integer number (51506551657).

Almost surely, 2103013103313 is an apocalyptic number.

It is an amenable number.

103013103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103013103313 is an equidigital number, since it uses as much as digits as its factorization.

103013103313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 103013103313 its reverse (313301310301), we get a palindrome (416314413614).

The spelling of 103013103313 in words is "one hundred three billion, thirteen million, one hundred three thousand, three hundred thirteen".