3331320003011 has 48 divisors (see below), whose sum is σ = 4621761494784. Its totient is φ = 2318858280000.

The previous prime is 3331320003001. The next prime is 3331320003091. The reversal of 3331320003011 is 1103000231333.

It is not a de Polignac number, because 3331320003011 - 2¹⁴ = 3331319986627 is a prime.

It is a super-2 number, since 2×3331320003011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331320003001) 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 47 ways as a sum of consecutive naturals, for example, 769565 + ... + 2693486.

It is an arithmetic number, because the mean of its divisors is an integer number (96286697808).

Almost surely, 2^{3331320003011} is an apocalyptic number.

3331320003011 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3331320003011 is a deficient number, since it is larger than the sum of its proper divisors (1290441491773).

3331320003011 is a wasteful number, since it uses less digits than its factorization.

3331320003011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463144 (or 3463113 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3331320003011 its reverse (1103000231333), we get a palindrome (4434320234344).

The spelling of 3331320003011 in words is "three trillion, three hundred thirty-one billion, three hundred twenty million, three thousand, eleven".