1101123010031 has 16 divisors (see below), whose sum is σ = 1204309081248. Its totient is φ = 998453952000.

The previous prime is 1101123009983. The next prime is 1101123010037. The reversal of 1101123010031 is 1300103211011.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101123010031 is a prime.

It is a super-2 number, since 2×1101123010031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101123009988 and 1101123010015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101123010037) 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 15 ways as a sum of consecutive naturals, for example, 7309931 + ... + 7459043.

It is an arithmetic number, because the mean of its divisors is an integer number (75269317578).

Almost surely, 2^{1101123010031} is an apocalyptic number.

1101123010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101123010031 is a deficient number, since it is larger than the sum of its proper divisors (103186071217).

1101123010031 is a wasteful number, since it uses less digits than its factorization.

1101123010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150842.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1101123010031 its reverse (1300103211011), we get a palindrome (2401226221042).

The spelling of 1101123010031 in words is "one trillion, one hundred one billion, one hundred twenty-three million, ten thousand, thirty-one".