1311440302100 has 72 divisors (see below), whose sum is σ = 2855164867128. Its totient is φ = 522856857600.

The previous prime is 1311440302033. The next prime is 1311440302189. The reversal of 1311440302100 is 12030441131.

It can be written as a sum of positive squares in 12 ways, for example, as 210523133584 + 1100917168516 = 458828^2 + 1049246^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48527792 + ... + 48554808.

It is an arithmetic number, because the mean of its divisors is an integer number (39655067599).

Almost surely, 2^{1311440302100} is an apocalyptic number.

1311440302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311440302100 is an abundant number, since it is smaller than the sum of its proper divisors (1543724565028).

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

1311440302100 is a wasteful number, since it uses less digits than its factorization.

1311440302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311440302100 its reverse (12030441131), we get a palindrome (1323470743231).

The spelling of 1311440302100 in words is "one trillion, three hundred eleven billion, four hundred forty million, three hundred two thousand, one hundred".