11013312321000 has 384 divisors, whose sum is σ = 40622600304000. Its totient is φ = 2669005440000.

The previous prime is 11013312320951. The next prime is 11013312321019. The reversal of 11013312321000 is 12321331011.

11013312321000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 331 + 232 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326584140 + ... + 326617860.

It is an arithmetic number, because the mean of its divisors is an integer number (105788021625).

Almost surely, 2^{11013312321000} is an apocalyptic number.

11013312321000 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 11013312321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311300152000).

11013312321000 is an abundant number, since it is smaller than the sum of its proper divisors (29609287983000).

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

11013312321000 is a wasteful number, since it uses less digits than its factorization.

11013312321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37058 (or 37041 counting only the distinct ones).

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

Adding to 11013312321000 its reverse (12321331011), we get a palindrome (11025633652011).

The spelling of 11013312321000 in words is "eleven trillion, thirteen billion, three hundred twelve million, three hundred twenty-one thousand".