1020132003000 has 768 divisors, whose sum is σ = 3584985505920. Its totient is φ = 241274880000.

The previous prime is 1020132002983. The next prime is 1020132003031. The reversal of 1020132003000 is 3002310201.

It is a happy number.

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

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 191 ways as a sum of consecutive naturals, for example, 3630362860 + ... + 3630363140.

Almost surely, 2^{1020132003000} is an apocalyptic number.

1020132003000 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 1020132003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792492752960).

1020132003000 is an abundant number, since it is smaller than the sum of its proper divisors (2564853502920).

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

1020132003000 is a wasteful number, since it uses less digits than its factorization.

1020132003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1020132003000 its reverse (3002310201), we get a palindrome (1023134313201).

The spelling of 1020132003000 in words is "one trillion, twenty billion, one hundred thirty-two million, three thousand".