2120032112313 has 32 divisors (see below), whose sum is σ = 3053123539200. Its totient is φ = 1304515874816.

The previous prime is 2120032112239. The next prime is 2120032112339. The reversal of 2120032112313 is 3132112300212.

It is a cyclic number.

It is not a de Polignac number, because 2120032112313 - 2¹⁰ = 2120032111289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120032112313.

It is not an unprimeable number, because it can be changed into a prime (2120032113313) 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, 3083533 + ... + 3707861.

It is an arithmetic number, because the mean of its divisors is an integer number (95410110600).

Almost surely, 2^{2120032112313} is an apocalyptic number.

2120032112313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2120032112313 is a deficient number, since it is larger than the sum of its proper divisors (933091426887).

2120032112313 is a wasteful number, since it uses less digits than its factorization.

2120032112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626081.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2120032112313 its reverse (3132112300212), we get a palindrome (5252144412525).

The spelling of 2120032112313 in words is "two trillion, one hundred twenty billion, thirty-two million, one hundred twelve thousand, three hundred thirteen".