2113142252004 has 96 divisors (see below), whose sum is σ = 6629465928960. Its totient is φ = 568239929856.

The previous prime is 2113142251991. The next prime is 2113142252017. The reversal of 2113142252004 is 4002522413112.

2113142252004 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 422 + 5 + 200 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2113142251991) and next prime (2113142252017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82197787 + ... + 82223490.

It is an arithmetic number, because the mean of its divisors is an integer number (69056936760).

Almost surely, 2^{2113142252004} is an apocalyptic number.

It is an amenable number.

2113142252004 is an abundant number, since it is smaller than the sum of its proper divisors (4516323676956).

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

2113142252004 is a wasteful number, since it uses less digits than its factorization.

2113142252004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164421314 (or 164421306 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2113142252004 its reverse (4002522413112), we get a palindrome (6115664665116).

The spelling of 2113142252004 in words is "two trillion, one hundred thirteen billion, one hundred forty-two million, two hundred fifty-two thousand, four".