1020131112000 has 896 divisors, whose sum is σ = 4522811424768. Its totient is φ = 195664896000.

The previous prime is 1020131111999. The next prime is 1020131112017. The reversal of 1020131112000 is 2111310201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24002769 + ... + 24045231.

It is an arithmetic number, because the mean of its divisors is an integer number (5047780608).

Almost surely, 2^{1020131112000} is an apocalyptic number.

1020131112000 is a gapful number since it is divisible by the number (10) 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 1020131112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261405712384).

1020131112000 is an abundant number, since it is smaller than the sum of its proper divisors (3502680312768).

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

1020131112000 is a wasteful number, since it uses less digits than its factorization.

1020131112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42524 (or 42504 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1020131112000 its reverse (2111310201), we get a palindrome (1022242422201).

The spelling of 1020131112000 in words is "one trillion, twenty billion, one hundred thirty-one million, one hundred twelve thousand".