13022003211113 has 16 divisors (see below), whose sum is σ = 14849430106896. Its totient is φ = 11312615608320.

The previous prime is 13022003211043. The next prime is 13022003211127. The reversal of 13022003211113 is 31111230022031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2095884512089 + 10926118699024 = 1447717^2 + 3305468^2 .

It is not a de Polignac number, because 13022003211113 - 2¹⁴ = 13022003194729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022003211013) 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, 2469233 + ... + 5669313.

It is an arithmetic number, because the mean of its divisors is an integer number (928089381681).

Almost surely, 2^{13022003211113} is an apocalyptic number.

13022003211113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13022003211113 is a deficient number, since it is larger than the sum of its proper divisors (1827426895783).

13022003211113 is a wasteful number, since it uses less digits than its factorization.

13022003211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218524.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13022003211113 its reverse (31111230022031), we get a palindrome (44133233233144).

The spelling of 13022003211113 in words is "thirteen trillion, twenty-two billion, three million, two hundred eleven thousand, one hundred thirteen".