10003133311311 has 16 divisors (see below), whose sum is σ = 15242943665664. Its totient is φ = 5716048481184.

The previous prime is 10003133311243. The next prime is 10003133311313. The reversal of 10003133311311 is 11311333130001.

It is not a de Polignac number, because 10003133311311 - 2¹⁹ = 10003132787023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003133311313) 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 15 ways as a sum of consecutive naturals, for example, 3772201 + ... + 5851133.

It is an arithmetic number, because the mean of its divisors is an integer number (952683979104).

Almost surely, 2^{10003133311311} is an apocalyptic number.

10003133311311 is a deficient number, since it is larger than the sum of its proper divisors (5239810354353).

10003133311311 is a wasteful number, since it uses less digits than its factorization.

10003133311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308070.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 10003133311311 its reverse (11311333130001), we get a palindrome (21314466441312).

The spelling of 10003133311311 in words is "ten trillion, three billion, one hundred thirty-three million, three hundred eleven thousand, three hundred eleven".