1001120013300 has 288 divisors, whose sum is σ = 3377717812224. Its totient is φ = 226481024000.

The previous prime is 1001120013269. The next prime is 1001120013331. The reversal of 1001120013300 is 33100211001.

It is an interprime number because it is at equal distance from previous prime (1001120013269) and next prime (1001120013331).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2951047 + ... + 3272753.

It is an arithmetic number, because the mean of its divisors is an integer number (11728186848).

Almost surely, 2^{1001120013300} is an apocalyptic number.

1001120013300 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 1001120013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688858906112).

1001120013300 is an abundant number, since it is smaller than the sum of its proper divisors (2376597798924).

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

1001120013300 is a wasteful number, since it uses less digits than its factorization.

1001120013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321799 (or 321792 counting only the distinct ones).

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

Adding to 1001120013300 its reverse (33100211001), we get a palindrome (1034220224301).

The spelling of 1001120013300 in words is "one trillion, one billion, one hundred twenty million, thirteen thousand, three hundred".