11032311312 has 240 divisors, whose sum is σ = 35790655680. Its totient is φ = 3140121600.

The previous prime is 11032311287. The next prime is 11032311317. The reversal of 11032311312 is 21311323011.

11032311312 is a `hidden beast` number, since 1 + 10 + 32 + 311 + 312 = 666.

It is a super-2 number, since 2×11032311312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11032311317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696387 + ... + 1702877.

It is an arithmetic number, because the mean of its divisors is an integer number (149127732).

Almost surely, 2^11032311312 is an apocalyptic number.

11032311312 is a gapful number since it is divisible by the number (12) 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 11032311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895327840).

11032311312 is an abundant number, since it is smaller than the sum of its proper divisors (24758344368).

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

11032311312 is a wasteful number, since it uses less digits than its factorization.

11032311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11032311312 its reverse (21311323011), we get a palindrome (32343634323).

The spelling of 11032311312 in words is "eleven billion, thirty-two million, three hundred eleven thousand, three hundred twelve".