2011003140312 has 96 divisors (see below), whose sum is σ = 5684666158080. Its totient is φ = 641031864000.

The previous prime is 2011003140283. The next prime is 2011003140319. The reversal of 2011003140312 is 2130413001102.

2011003140312 is a `hidden beast` number, since 201 + 10 + 0 + 3 + 140 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011003140319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6687187 + ... + 6981437.

It is an arithmetic number, because the mean of its divisors is an integer number (59215272480).

Almost surely, 2^{2011003140312} 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 2011003140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842333079040).

2011003140312 is an abundant number, since it is smaller than the sum of its proper divisors (3673663017768).

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

2011003140312 is a wasteful number, since it uses less digits than its factorization.

2011003140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298413 (or 298406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011003140312 its reverse (2130413001102), we get a palindrome (4141416141414).

The spelling of 2011003140312 in words is "two trillion, eleven billion, three million, one hundred forty thousand, three hundred twelve".