1002131132000 has 96 divisors (see below), whose sum is σ = 2463449998464. Its totient is φ = 400654848000.

The previous prime is 1002131131987. The next prime is 1002131132003. The reversal of 1002131132000 is 2311312001.

1002131132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8191280 + ... + 8312720.

It is an arithmetic number, because the mean of its divisors is an integer number (25660937484).

Almost surely, 2^{1002131132000} is an apocalyptic number.

1002131132000 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 1002131132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231724999232).

1002131132000 is an abundant number, since it is smaller than the sum of its proper divisors (1461318866464).

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

1002131132000 is a wasteful number, since it uses less digits than its factorization.

1002131132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123529 (or 123511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002131132000 its reverse (2311312001), we get a palindrome (1004442444001).

The spelling of 1002131132000 in words is "one trillion, two billion, one hundred thirty-one million, one hundred thirty-two thousand".