1301331220000 has 180 divisors, whose sum is σ = 3724161785190. Its totient is φ = 446170368000.

The previous prime is 1301331219931. The next prime is 1301331220009. The reversal of 1301331220000 is 221331031.

It can be written as a sum of positive squares in 5 ways, for example, as 65738908816 + 1235592311184 = 256396^2 + 1111572^2 .

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 (1301331220009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 316056 + ... + 1643944.

Almost surely, 2^{1301331220000} is an apocalyptic number.

1301331220000 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 1301331220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862080892595).

1301331220000 is an abundant number, since it is smaller than the sum of its proper divisors (2422830565190).

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

1301331220000 is an equidigital number, since it uses as much as digits as its factorization.

1301331220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327933 (or 1327903 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1301331220000 its reverse (221331031), we get a palindrome (1301552551031).

The spelling of 1301331220000 in words is "one trillion, three hundred one billion, three hundred thirty-one million, two hundred twenty thousand".