103100100311 has 64 divisors (see below), whose sum is σ = 129809433600. Its totient is φ = 80740509696.

The previous prime is 103100100223. The next prime is 103100100371. The reversal of 103100100311 is 113001001301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103100100311 - 2³⁰ = 102026358487 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103100100292 and 103100100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100100371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19022960 + ... + 19028378.

It is an arithmetic number, because the mean of its divisors is an integer number (2028272400).

Almost surely, 2^103100100311 is an apocalyptic number.

103100100311 is a deficient number, since it is larger than the sum of its proper divisors (26709333289).

103100100311 is a wasteful number, since it uses less digits than its factorization.

103100100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 103100100311 its reverse (113001001301), we get a palindrome (216101101612).

The spelling of 103100100311 in words is "one hundred three billion, one hundred million, one hundred thousand, three hundred eleven".