1311432213300 has 288 divisors, whose sum is σ = 4180916404224. Its totient is φ = 314741952000.

The previous prime is 1311432213293. The next prime is 1311432213313. The reversal of 1311432213300 is 33122341131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210804190 + ... + 210810410.

It is an arithmetic number, because the mean of its divisors is an integer number (14517070848).

Almost surely, 2^{1311432213300} is an apocalyptic number.

1311432213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311432213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090458202112).

1311432213300 is an abundant number, since it is smaller than the sum of its proper divisors (2869484190924).

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

1311432213300 is a wasteful number, since it uses less digits than its factorization.

1311432213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1311432213300 its reverse (33122341131), we get a palindrome (1344554554431).

The spelling of 1311432213300 in words is "one trillion, three hundred eleven billion, four hundred thirty-two million, two hundred thirteen thousand, three hundred".