101802000313 has 4 divisors (see below), whose sum is σ = 109632923428. Its totient is φ = 93971077200.

The previous prime is 101802000271. The next prime is 101802000343. The reversal of 101802000313 is 313000208101.

101802000313 = 225612² + 225613².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50900774544 + 50901225769 = 225612^2 + 225613^2 .

It is not a de Polignac number, because 101802000313 - 2¹⁷ = 101801869241 is a prime.

It is a super-3 number, since 3×101802000313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101802000343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3915461538 + ... + 3915461563.

It is an arithmetic number, because the mean of its divisors is an integer number (27408230857).

Almost surely, 2^101802000313 is an apocalyptic number.

101802000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101802000313 is the 225613-rd centered square number.

It is an amenable number.

101802000313 is a deficient number, since it is larger than the sum of its proper divisors (7830923115).

101802000313 is an equidigital number, since it uses as much as digits as its factorization.

101802000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830923114.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101802000313 its reverse (313000208101), we get a palindrome (414802208414).

The spelling of 101802000313 in words is "one hundred one billion, eight hundred two million, three hundred thirteen", and thus it is an aban number.