1001312333312 has 80 divisors (see below), whose sum is σ = 2050071130800. Its totient is φ = 488300789760.

The previous prime is 1001312333309. The next prime is 1001312333317. The reversal of 1001312333312 is 2133332131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312333317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118789514 + ... + 118797942.

It is an arithmetic number, because the mean of its divisors is an integer number (25625889135).

Almost surely, 2^{1001312333312} 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 1001312333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025035565400).

1001312333312 is an abundant number, since it is smaller than the sum of its proper divisors (1048758797488).

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

1001312333312 is an frugal number, since it uses more digits than its factorization.

1001312333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14147 (or 14131 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1001312333312 its reverse (2133332131001), we get a palindrome (3134644464313).

The spelling of 1001312333312 in words is "one trillion, one billion, three hundred twelve million, three hundred thirty-three thousand, three hundred twelve".