2113103361600 has 4032 divisors, whose sum is σ = 10612892160000. Its totient is φ = 393419980800.

The previous prime is 2113103361517. The next prime is 2113103361617. The reversal of 2113103361600 is 61633013112.

2113103361600 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 10 + 33 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23742734356 + ... + 23742734444.

Almost surely, 2^{2113103361600} is an apocalyptic number.

2113103361600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113103361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306446080000).

2113103361600 is an abundant number, since it is smaller than the sum of its proper divisors (8499788798400).

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

2113103361600 is a wasteful number, since it uses less digits than its factorization.

2113103361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 2113103361600 its reverse (61633013112), we get a palindrome (2174736374712).

The spelling of 2113103361600 in words is "two trillion, one hundred thirteen billion, one hundred three million, three hundred sixty-one thousand, six hundred".