11312211330 has 192 divisors, whose sum is σ = 34961891328. Its totient is φ = 2577977280.

The previous prime is 11312211329. The next prime is 11312211331. The reversal of 11312211330 is 3311221311.

11312211330 is a `hidden beast` number, since 1 + 1 + 312 + 21 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (11312211329) and next prime (11312211331).

It is a super-2 number, since 2×11312211330² (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 (11312211331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7330539 + ... + 7332081.

It is an arithmetic number, because the mean of its divisors is an integer number (182093184).

Almost surely, 2^11312211330 is an apocalyptic number.

11312211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480945664).

11312211330 is an abundant number, since it is smaller than the sum of its proper divisors (23649679998).

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

11312211330 is a wasteful number, since it uses less digits than its factorization.

11312211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1991 counting only the distinct ones).

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

Adding to 11312211330 its reverse (3311221311), we get a palindrome (14623432641).

The spelling of 11312211330 in words is "eleven billion, three hundred twelve million, two hundred eleven thousand, three hundred thirty".