1000103030311 has 16 divisors (see below), whose sum is σ = 1247259974400. Its totient is φ = 779064641280.

The previous prime is 1000103030299. The next prime is 1000103030363. The reversal of 1000103030311 is 1130303010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000103030311 - 2¹³ = 1000103022119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000103030291 and 1000103030300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103030411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714506 + ... + 2222551.

It is an arithmetic number, because the mean of its divisors is an integer number (77953748400).

Almost surely, 2^{1000103030311} is an apocalyptic number.

1000103030311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000103030311 is a deficient number, since it is larger than the sum of its proper divisors (247156944089).

1000103030311 is a wasteful number, since it uses less digits than its factorization.

1000103030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940374.

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

Adding to 1000103030311 its reverse (1130303010001), we get a palindrome (2130406040312).

The spelling of 1000103030311 in words is "one trillion, one hundred three million, thirty thousand, three hundred eleven".