11413311400 has 96 divisors (see below), whose sum is σ = 27966290400. Its totient is φ = 4319827200.

The previous prime is 11413311397. The next prime is 11413311401. The reversal of 11413311400 is 411331411.

It is a super-3 number, since 3×11413311400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11413311401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4874230 + ... + 4876570.

It is an arithmetic number, because the mean of its divisors is an integer number (291315525).

Almost surely, 2^11413311400 is an apocalyptic number.

11413311400 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 11413311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983145200).

11413311400 is an abundant number, since it is smaller than the sum of its proper divisors (16552979000).

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

11413311400 is a wasteful number, since it uses less digits than its factorization.

11413311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11413311400 its reverse (411331411), we get a palindrome (11824642811).

The spelling of 11413311400 in words is "eleven billion, four hundred thirteen million, three hundred eleven thousand, four hundred".