1301305210000 has 100 divisors (see below), whose sum is σ = 3181786474284. Its totient is φ = 515368000000.

The previous prime is 1301305209961. The next prime is 1301305210003. The reversal of 1301305210000 is 125031031.

It can be written as a sum of positive squares in 10 ways, for example, as 193431076864 + 1107874133136 = 439808^2 + 1052556^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1301305210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 365790 + ... + 1654210.

Almost surely, 2^{1301305210000} is an apocalyptic number.

1301305210000 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 1301305210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590893237142).

1301305210000 is an abundant number, since it is smaller than the sum of its proper divisors (1880481264284).

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

1301305210000 is a wasteful number, since it uses less digits than its factorization.

1301305210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288550 (or 1288529 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The spelling of 1301305210000 in words is "one trillion, three hundred one billion, three hundred five million, two hundred ten thousand".