1102023310311 has 144 divisors (see below), whose sum is σ = 2073739599360. Its totient is φ = 557346666240.

The previous prime is 1102023310307. The next prime is 1102023310361. The reversal of 1102023310311 is 1130133202011.

1102023310311 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 2 + 331 + 0 + 311 = 666.

It is not a de Polignac number, because 1102023310311 - 2² = 1102023310307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102023310361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65281170 + ... + 65298048.

It is an arithmetic number, because the mean of its divisors is an integer number (14400969440).

Almost surely, 2^{1102023310311} is an apocalyptic number.

1102023310311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102023310311 is a deficient number, since it is larger than the sum of its proper divisors (971716289049).

1102023310311 is a wasteful number, since it uses less digits than its factorization.

1102023310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1102023310311 its reverse (1130133202011), we get a palindrome (2232156512322).

The spelling of 1102023310311 in words is "one trillion, one hundred two billion, twenty-three million, three hundred ten thousand, three hundred eleven".