1011331220312 has 64 divisors (see below), whose sum is σ = 2238295050240. Its totient is φ = 419211936000.

The previous prime is 1011331220279. The next prime is 1011331220327. The reversal of 1011331220312 is 2130221331101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 2964803 + ... + 3288269.

It is an arithmetic number, because the mean of its divisors is an integer number (34973360160).

Almost surely, 2^{1011331220312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011331220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119147525120).

1011331220312 is an abundant number, since it is smaller than the sum of its proper divisors (1226963829928).

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

1011331220312 is a wasteful number, since it uses less digits than its factorization.

1011331220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325312 (or 325308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1011331220312 its reverse (2130221331101), we get a palindrome (3141552551413).

The spelling of 1011331220312 in words is "one trillion, eleven billion, three hundred thirty-one million, two hundred twenty thousand, three hundred twelve".