1327261301000 has 64 divisors (see below), whose sum is σ = 3136542093360. Its totient is φ = 525648000000.

The previous prime is 1327261300997. The next prime is 1327261301017. The reversal of 1327261301000 is 1031627231.

It can be written as a sum of positive squares in 8 ways, for example, as 760917757636 + 566343543364 = 872306^2 + 752558^2 .

It is a super-2 number, since 2×1327261301000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469601 + ... + 6671600.

Almost surely, 2^{1327261301000} is an apocalyptic number.

1327261301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327261301000 is an abundant number, since it is smaller than the sum of its proper divisors (1809280792360).

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

1327261301000 is a wasteful number, since it uses less digits than its factorization.

1327261301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141323 (or 13141309 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 1327261301000 its reverse (1031627231), we get a palindrome (1328292928231).

It can be divided in two parts, 1327261 and 301000, that added together give a palindrome (1628261).

The spelling of 1327261301000 in words is "one trillion, three hundred twenty-seven billion, two hundred sixty-one million, three hundred one thousand".