11430401111300 has 18 divisors (see below), whose sum is σ = 24803970411738. Its totient is φ = 4572160444480.

The previous prime is 11430401111249. The next prime is 11430401111309. The reversal of 11430401111300 is 311110403411.

It can be written as a sum of positive squares in 3 ways, for example, as 472089919744 + 10958311191556 = 687088^2 + 3310334^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11430401111309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57152005457 + ... + 57152005656.

Almost surely, 2^{11430401111300} is an apocalyptic number.

11430401111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430401111300 is an abundant number, since it is smaller than the sum of its proper divisors (13373569300438).

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

11430401111300 is a wasteful number, since it uses less digits than its factorization.

11430401111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114304011127 (or 114304011120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11430401111300 its reverse (311110403411), we get a palindrome (11741511514711).

The spelling of 11430401111300 in words is "eleven trillion, four hundred thirty billion, four hundred one million, one hundred eleven thousand, three hundred".