103001300311 has 64 divisors (see below), whose sum is σ = 137542451200. Its totient is φ = 74860765056.

The previous prime is 103001300293. The next prime is 103001300351. The reversal of 103001300311 is 113003100301.

It is a happy number.

It is not a de Polignac number, because 103001300311 - 2⁵ = 103001300279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 103001300291 and 103001300300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001300351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10329250 + ... + 10339216.

It is an arithmetic number, because the mean of its divisors is an integer number (2149100800).

Almost surely, 2^103001300311 is an apocalyptic number.

103001300311 is a deficient number, since it is larger than the sum of its proper divisors (34541150889).

103001300311 is a wasteful number, since it uses less digits than its factorization.

103001300311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 103001300311 its reverse (113003100301), we get a palindrome (216004400612).

The spelling of 103001300311 in words is "one hundred three billion, one million, three hundred thousand, three hundred eleven".