11013001330320 has 240 divisors, whose sum is σ = 41695689221760. Its totient is φ = 2669818440960.

The previous prime is 11013001330319. The next prime is 11013001330321. The reversal of 11013001330320 is 2303310031011.

It is a happy number.

11013001330320 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 300 + 1 + 330 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11013001330319) and next prime (11013001330321).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11013001330293 and 11013001330302.

It is not an unprimeable number, because it can be changed into a prime (11013001330321) 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, 20807284 + ... + 21330003.

It is an arithmetic number, because the mean of its divisors is an integer number (173732038424).

Almost surely, 2^{11013001330320} is an apocalyptic number.

11013001330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11013001330320 is an abundant number, since it is smaller than the sum of its proper divisors (30682687891440).

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

11013001330320 is a wasteful number, since it uses less digits than its factorization.

11013001330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42137331 (or 42137308 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11013001330320 its reverse (2303310031011), we get a palindrome (13316311361331).

The spelling of 11013001330320 in words is "eleven trillion, thirteen billion, one million, three hundred thirty thousand, three hundred twenty".