11001312003000 has 256 divisors, whose sum is σ = 38357749946880. Its totient is φ = 2601936000000.

The previous prime is 11001312002977. The next prime is 11001312003007. The reversal of 11001312003000 is 30021310011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001312003007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2712526 + ... + 5418525.

It is an arithmetic number, because the mean of its divisors is an integer number (149834960730).

Almost surely, 2^{11001312003000} is an apocalyptic number.

11001312003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001312003000 is an abundant number, since it is smaller than the sum of its proper divisors (27356437943880).

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

11001312003000 is a wasteful number, since it uses less digits than its factorization.

11001312003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131127 (or 8131113 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11001312003000 its reverse (30021310011), we get a palindrome (11031333313011).

The spelling of 11001312003000 in words is "eleven trillion, one billion, three hundred twelve million, three thousand".