1300132002000 has 640 divisors, whose sum is σ = 4820611461120. Its totient is φ = 299013120000.

The previous prime is 1300132001989. The next prime is 1300132002007. The reversal of 1300132002000 is 2002310031.

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 not an unprimeable number, because it can be changed into a prime (1300132002007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70112730 + ... + 70131270.

It is an arithmetic number, because the mean of its divisors is an integer number (7532205408).

Almost surely, 2^{1300132002000} is an apocalyptic number.

1300132002000 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 1300132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410305730560).

1300132002000 is an abundant number, since it is smaller than the sum of its proper divisors (3520479459120).

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

1300132002000 is a wasteful number, since it uses less digits than its factorization.

1300132002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18640 (or 18624 counting only the distinct ones).

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

Adding to 1300132002000 its reverse (2002310031), we get a palindrome (1302134312031).

The spelling of 1300132002000 in words is "one trillion, three hundred billion, one hundred thirty-two million, two thousand".