1101013233012 has 144 divisors (see below), whose sum is σ = 3473806137984. Its totient is φ = 285652224000.

The previous prime is 1101013232989. The next prime is 1101013233017. The reversal of 1101013233012 is 2103323101011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101013233017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2216712 + ... + 2667552.

It is an arithmetic number, because the mean of its divisors is an integer number (24123653736).

Almost surely, 2^{1101013233012} is an apocalyptic number.

1101013233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101013233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736903068992).

1101013233012 is an abundant number, since it is smaller than the sum of its proper divisors (2372792904972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101013233012 is a wasteful number, since it uses less digits than its factorization.

1101013233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451750 (or 451745 counting only the distinct ones).

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

Adding to 1101013233012 its reverse (2103323101011), we get a palindrome (3204336334023).

It can be divided in two parts, 1101013 and 233012, that added together give a square (1334025 = 1155²).

The spelling of 1101013233012 in words is "one trillion, one hundred one billion, thirteen million, two hundred thirty-three thousand, twelve".