1011001101330 has 128 divisors (see below), whose sum is σ = 2720350780416. Its totient is φ = 238306924800.

The previous prime is 1011001101277. The next prime is 1011001101337. The reversal of 1011001101330 is 331011001101.

It is not an unprimeable number, because it can be changed into a prime (1011001101337) 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, 18666469 + ... + 18720551.

It is an arithmetic number, because the mean of its divisors is an integer number (21252740472).

Almost surely, 2^{1011001101330} is an apocalyptic number.

1011001101330 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 1011001101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360175390208).

1011001101330 is an abundant number, since it is smaller than the sum of its proper divisors (1709349679086).

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

1011001101330 is a wasteful number, since it uses less digits than its factorization.

1011001101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55672.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1011001101330 its reverse (331011001101), we get a palindrome (1342012102431).

The spelling of 1011001101330 in words is "one trillion, eleven billion, one million, one hundred one thousand, three hundred thirty".