2232311223011 has 64 divisors (see below), whose sum is σ = 2591024163840. Its totient is φ = 1910200320000.

The previous prime is 2232311222957. The next prime is 2232311223029. The reversal of 2232311223011 is 1103221132322.

It is a cyclic number.

It is not a de Polignac number, because 2232311223011 - 2¹⁴ = 2232311206627 is a prime.

It is a super-3 number, since 3×2232311223011³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232311223041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135686336 + ... + 135702786.

It is an arithmetic number, because the mean of its divisors is an integer number (40484752560).

Almost surely, 2^{2232311223011} is an apocalyptic number.

2232311223011 is a deficient number, since it is larger than the sum of its proper divisors (358712940829).

2232311223011 is a wasteful number, since it uses less digits than its factorization.

2232311223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16716.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2232311223011 its reverse (1103221132322), we get a palindrome (3335532355333).

The spelling of 2232311223011 in words is "two trillion, two hundred thirty-two billion, three hundred eleven million, two hundred twenty-three thousand, eleven".