1311414201000 has 96 divisors (see below), whose sum is σ = 4432580029800. Its totient is φ = 349710451200.

The previous prime is 1311414200983. The next prime is 1311414201011. The reversal of 1311414201000 is 1024141131.

1311414201000 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 420 + 100 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402065055396 + 909349145604 = 634086^2 + 953598^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 72847345 + ... + 72865344.

Almost surely, 2^{1311414201000} is an apocalyptic number.

1311414201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311414201000 is an abundant number, since it is smaller than the sum of its proper divisors (3121165828800).

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

1311414201000 is a wasteful number, since it uses less digits than its factorization.

1311414201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145712716 (or 145712699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1311414201000 its reverse (1024141131), we get a palindrome (1312438342131).

The spelling of 1311414201000 in words is "one trillion, three hundred eleven billion, four hundred fourteen million, two hundred one thousand".