11413312000 has 80 divisors (see below), whose sum is σ = 28459966392. Its totient is φ = 4565299200.

The previous prime is 11413311991. The next prime is 11413312003. The reversal of 11413312000 is 21331411.

It can be written as a sum of positive squares in 4 ways, for example, as 2408061184 + 9005250816 = 49072^2 + 94896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11413312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25167 + ... + 153166.

Almost surely, 2^11413312000 is an apocalyptic number.

11413312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413312000 is an abundant number, since it is smaller than the sum of its proper divisors (17046654392).

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

11413312000 is an frugal number, since it uses more digits than its factorization.

11413312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178366 (or 178340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11413312000 its reverse (21331411), we get a palindrome (11434643411).

The spelling of 11413312000 in words is "eleven billion, four hundred thirteen million, three hundred twelve thousand".