2113634360100 has 72 divisors (see below), whose sum is σ = 6115947804288. Its totient is φ = 563589833600.

The previous prime is 2113634360069. The next prime is 2113634360107. The reversal of 2113634360100 is 10634363112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2113634360107) 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, 3476890 + ... + 4039310.

It is an arithmetic number, because the mean of its divisors is an integer number (84943719504).

Almost surely, 2^{2113634360100} is an apocalyptic number.

2113634360100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113634360100 is an abundant number, since it is smaller than the sum of its proper divisors (4002313444188).

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

2113634360100 is a wasteful number, since it uses less digits than its factorization.

2113634360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574965 (or 574958 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 2113634360100 in words is "two trillion, one hundred thirteen billion, six hundred thirty-four million, three hundred sixty thousand, one hundred".