1311412242100 has 72 divisors (see below), whose sum is σ = 2862484836120. Its totient is φ = 521491630080.

The previous prime is 1311412242097. The next prime is 1311412242137. The reversal of 1311412242100 is 12422141131.

It can be written as a sum of positive squares in 12 ways, for example, as 78486263716 + 1232925978384 = 280154^2 + 1110372^2 .

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, 11928984 + ... + 12038416.

It is an arithmetic number, because the mean of its divisors is an integer number (39756733835).

Almost surely, 2^{1311412242100} is an apocalyptic number.

1311412242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311412242100 is an abundant number, since it is smaller than the sum of its proper divisors (1551072594020).

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

1311412242100 is a wasteful number, since it uses less digits than its factorization.

1311412242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110149 (or 110142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1311412242100 its reverse (12422141131), we get a palindrome (1323834383231).

The spelling of 1311412242100 in words is "one trillion, three hundred eleven billion, four hundred twelve million, two hundred forty-two thousand, one hundred".