13331123103011 has 32 divisors (see below), whose sum is σ = 16246926643200. Its totient is φ = 10692506373120.

The previous prime is 13331123102993. The next prime is 13331123103209. The reversal of 13331123103011 is 11030132113331.

It is not a de Polignac number, because 13331123103011 - 2¹⁰ = 13331123101987 is a prime.

It is a super-2 number, since 2×13331123103011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331123105011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421550 + ... + 6194291.

It is an arithmetic number, because the mean of its divisors is an integer number (507716457600).

Almost surely, 2^{13331123103011} is an apocalyptic number.

13331123103011 is a deficient number, since it is larger than the sum of its proper divisors (2915803540189).

13331123103011 is a wasteful number, since it uses less digits than its factorization.

13331123103011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616059.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13331123103011 its reverse (11030132113331), we get a palindrome (24361255216342).

The spelling of 13331123103011 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred three thousand, eleven".