2012133002313 has 32 divisors (see below), whose sum is σ = 3083366280960. Its totient is φ = 1143330842880.

The previous prime is 2012133002291. The next prime is 2012133002381. The reversal of 2012133002313 is 3132003312102.

It is not a de Polignac number, because 2012133002313 - 2⁵ = 2012133002281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2012133002313.

It is not an unprimeable number, because it can be changed into a prime (2012133003313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570283 + ... + 4095263.

It is an arithmetic number, because the mean of its divisors is an integer number (96355196280).

Almost surely, 2^{2012133002313} is an apocalyptic number.

It is an amenable number.

2012133002313 is a deficient number, since it is larger than the sum of its proper divisors (1071233278647).

2012133002313 is a wasteful number, since it uses less digits than its factorization.

2012133002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526017.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2012133002313 its reverse (3132003312102), we get a palindrome (5144136314415).

The spelling of 2012133002313 in words is "two trillion, twelve billion, one hundred thirty-three million, two thousand, three hundred thirteen".