11131330433200 has 120 divisors (see below), whose sum is σ = 27907868344608. Its totient is φ = 4258622269440.

The previous prime is 11131330433183. The next prime is 11131330433243. The reversal of 11131330433200 is 233403313111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147833962 + ... + 147909238.

Almost surely, 2^{11131330433200} is an apocalyptic number.

11131330433200 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 11131330433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953934172304).

11131330433200 is an abundant number, since it is smaller than the sum of its proper divisors (16776537911408).

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

11131330433200 is a wasteful number, since it uses less digits than its factorization.

11131330433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91391 (or 91380 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 11131330433200 its reverse (233403313111), we get a palindrome (11364733746311).

The spelling of 11131330433200 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirty million, four hundred thirty-three thousand, two hundred".