11313130400 has 216 divisors, whose sum is σ = 32629099104. Its totient is φ = 3796915200.

The previous prime is 11313130391. The next prime is 11313130501. The reversal of 11313130400 is 403131311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1483397 + ... + 1491003.

It is an arithmetic number, because the mean of its divisors is an integer number (151060644).

Almost surely, 2^11313130400 is an apocalyptic number.

11313130400 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 11313130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314549552).

11313130400 is an abundant number, since it is smaller than the sum of its proper divisors (21315968704).

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

11313130400 is a wasteful number, since it uses less digits than its factorization.

11313130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11313130400 its reverse (403131311), we get a palindrome (11716261711).

The spelling of 11313130400 in words is "eleven billion, three hundred thirteen million, one hundred thirty thousand, four hundred".