1101313839600 has 360 divisors, whose sum is σ = 4136572221600. Its totient is φ = 269728081920.

The previous prime is 1101313839539. The next prime is 1101313839611. The reversal of 1101313839600 is 69383131011.

1101313839600 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 13 + 8 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9254074 + ... + 9372326.

Almost surely, 2^{1101313839600} is an apocalyptic number.

1101313839600 is a gapful number since it is divisible by the number (10) 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 1101313839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068286110800).

1101313839600 is an abundant number, since it is smaller than the sum of its proper divisors (3035258382000).

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

1101313839600 is a wasteful number, since it uses less digits than its factorization.

1101313839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118489 (or 118475 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1101313839600 in words is "one trillion, one hundred one billion, three hundred thirteen million, eight hundred thirty-nine thousand, six hundred".