2112042002013 has 24 divisors (see below), whose sum is σ = 3204732585600. Its totient is φ = 1337770383840.

The previous prime is 2112042002009. The next prime is 2112042002033. The reversal of 2112042002013 is 3102002402112.

It is a happy number.

2112042002013 is a `hidden beast` number, since 21 + 1 + 20 + 420 + 0 + 201 + 3 = 666.

It is not a de Polignac number, because 2112042002013 - 2² = 2112042002009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112042002033) 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, 34207753 + ... + 34269438.

It is an arithmetic number, because the mean of its divisors is an integer number (133530524400).

Almost surely, 2^{2112042002013} is an apocalyptic number.

2112042002013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2112042002013 is a deficient number, since it is larger than the sum of its proper divisors (1092690583587).

2112042002013 is a wasteful number, since it uses less digits than its factorization.

2112042002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68477369 (or 68477366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2112042002013 its reverse (3102002402112), we get a palindrome (5214044404125).

The spelling of 2112042002013 in words is "two trillion, one hundred twelve billion, forty-two million, two thousand, thirteen".