1001131023312 has 240 divisors, whose sum is σ = 3230341994880. Its totient is φ = 283513651200.

The previous prime is 1001131023307. The next prime is 1001131023313. The reversal of 1001131023312 is 2133201311001.

1001131023312 is a `hidden beast` number, since 10 + 0 + 11 + 310 + 2 + 331 + 2 = 666.

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 (1001131023313) 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, 122668512 + ... + 122676672.

It is an arithmetic number, because the mean of its divisors is an integer number (13459758312).

Almost surely, 2^{1001131023312} is an apocalyptic number.

1001131023312 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 1001131023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615170997440).

1001131023312 is an abundant number, since it is smaller than the sum of its proper divisors (2229210971568).

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

1001131023312 is a wasteful number, since it uses less digits than its factorization.

1001131023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9233 counting only the distinct ones).

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

Adding to 1001131023312 its reverse (2133201311001), we get a palindrome (3134332334313).

The spelling of 1001131023312 in words is "one trillion, one billion, one hundred thirty-one million, twenty-three thousand, three hundred twelve".