1011101232312 has 96 divisors (see below), whose sum is σ = 2857763825280. Its totient is φ = 322345826880.

The previous prime is 1011101232311. The next prime is 1011101232329. The reversal of 1011101232312 is 2132321011101.

1011101232312 is a `hidden beast` number, since 10 + 1 + 110 + 1 + 232 + 312 = 666.

It is a super-3 number, since 3×1011101232312³ (a number of 37 digits) contains 333 as substring.

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 (1011101232311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18869863 + ... + 18923369.

It is an arithmetic number, because the mean of its divisors is an integer number (29768373180).

Almost surely, 2^{1011101232312} is an apocalyptic number.

1011101232312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011101232312 is an abundant number, since it is smaller than the sum of its proper divisors (1846662592968).

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

1011101232312 is a wasteful number, since it uses less digits than its factorization.

1011101232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64953 (or 64946 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011101232312 its reverse (2132321011101), we get a palindrome (3143422243413).

The spelling of 1011101232312 in words is "one trillion, eleven billion, one hundred one million, two hundred thirty-two thousand, three hundred twelve".