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110300131013 is a prime number
BaseRepresentation
bin110011010111001100…
…1100110111011000101
3101112201000011012201112
41212232121212323011
53301343313143023
6122400550334405
710653224433662
oct1465631467305
9345630135645
10110300131013
1142861603a76
121946335a405
13a52a742517
1454a4dcca69
152d08630478
hex19ae666ec5

110300131013 has 2 divisors, whose sum is σ = 110300131014. Its totient is φ = 110300131012.

The previous prime is 110300130989. The next prime is 110300131037. The reversal of 110300131013 is 310131003011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (110300130989) and next prime (110300131037).

It can be written as a sum of positive squares in only one way, i.e., 110291738404 + 8392609 = 332102^2 + 2897^2 .

It is a cyclic number.

It is not a de Polignac number, because 110300131013 - 226 = 110233022149 is a prime.

It is a super-2 number, since 2×1103001310132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110300131043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55150065506 + 55150065507.

It is an arithmetic number, because the mean of its divisors is an integer number (55150065507).

Almost surely, 2110300131013 is an apocalyptic number.

It is an amenable number.

110300131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110300131013 is an equidigital number, since it uses as much as digits as its factorization.

110300131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 110300131013 its reverse (310131003011), we get a palindrome (420431134024).

The spelling of 110300131013 in words is "one hundred ten billion, three hundred million, one hundred thirty-one thousand, thirteen".