1020132230000 has 200 divisors, whose sum is σ = 2799827830800. Its totient is φ = 356838912000.

The previous prime is 1020132229999. The next prime is 1020132230027. The reversal of 1020132230000 is 322310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 2263496 + ... + 2676504.

It is an arithmetic number, because the mean of its divisors is an integer number (13999139154).

Almost surely, 2^{1020132230000} is an apocalyptic number.

1020132230000 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 1020132230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399913915400).

1020132230000 is an abundant number, since it is smaller than the sum of its proper divisors (1779695600800).

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

1020132230000 is a wasteful number, since it uses less digits than its factorization.

1020132230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413069 (or 413048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1020132230000 its reverse (322310201), we get a palindrome (1020454540201).

The spelling of 1020132230000 in words is "one trillion, twenty billion, one hundred thirty-two million, two hundred thirty thousand".