2011312001104 has 90 divisors (see below), whose sum is σ = 4541850663630. Its totient is φ = 860339241216.

The previous prime is 2011312001099. The next prime is 2011312001123. The reversal of 2011312001104 is 4011002131102.

It can be written as a sum of positive squares in 3 ways, for example, as 49351511104 + 1961960490000 = 222152^2 + 1400700^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 243231082 + ... + 243239350.

Almost surely, 2^{2011312001104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011312001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270925331815).

2011312001104 is an abundant number, since it is smaller than the sum of its proper divisors (2530538662526).

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

2011312001104 is an frugal number, since it uses more digits than its factorization.

2011312001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2011312001104 its reverse (4011002131102), we get a palindrome (6022314132206).

The spelling of 2011312001104 in words is "two trillion, eleven billion, three hundred twelve million, one thousand, one hundred four".