1300312002000 has 320 divisors, whose sum is σ = 4679681909760. Its totient is φ = 307895616000.

The previous prime is 1300312001999. The next prime is 1300312002053. The reversal of 1300312002000 is 2002130031.

It is a happy number.

It is a super-2 number, since 2×1300312002000² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608911 + ... + 3067089.

It is an arithmetic number, because the mean of its divisors is an integer number (14624005968).

Almost surely, 2^{1300312002000} is an apocalyptic number.

1300312002000 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 1300312002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339840954880).

1300312002000 is an abundant number, since it is smaller than the sum of its proper divisors (3379369907760).

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

1300312002000 is a wasteful number, since it uses less digits than its factorization.

1300312002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458259 (or 458243 counting only the distinct ones).

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

Adding to 1300312002000 its reverse (2002130031), we get a palindrome (1302314132031).

The spelling of 1300312002000 in words is "one trillion, three hundred billion, three hundred twelve million, two thousand".