1311333342100 has 18 divisors (see below), whose sum is σ = 2845593352574. Its totient is φ = 524533336800.

The previous prime is 1311333342097. The next prime is 1311333342101. The reversal of 1311333342100 is 12433331131.

It can be written as a sum of positive squares in 3 ways, for example, as 60273196036 + 1251060146064 = 245506^2 + 1118508^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311333342101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6556666611 + ... + 6556666810.

Almost surely, 2^{1311333342100} is an apocalyptic number.

1311333342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311333342100 is an abundant number, since it is smaller than the sum of its proper divisors (1534260010474).

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

1311333342100 is a wasteful number, since it uses less digits than its factorization.

1311333342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113333435 (or 13113333428 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1311333342100 its reverse (12433331131), we get a palindrome (1323766673231).

The spelling of 1311333342100 in words is "one trillion, three hundred eleven billion, three hundred thirty-three million, three hundred forty-two thousand, one hundred".