1101113709696 has 1920 divisors, whose sum is σ = 4718273535360. Its totient is φ = 245328445440.

The previous prime is 1101113709613. The next prime is 1101113709701. The reversal of 1101113709696 is 6969073111011.

1101113709696 is a `hidden beast` number, since 1 + 101 + 1 + 1 + 370 + 96 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13938148185 + ... + 13938148263.

It is an arithmetic number, because the mean of its divisors is an integer number (2457434133).

Almost surely, 2^{1101113709696} is an apocalyptic number.

1101113709696 is a gapful number since it is divisible by the number (16) 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 1101113709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359136767680).

1101113709696 is an abundant number, since it is smaller than the sum of its proper divisors (3617159825664).

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

1101113709696 is a wasteful number, since it uses less digits than its factorization.

1101113709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 1101113709696 in words is "one trillion, one hundred one billion, one hundred thirteen million, seven hundred nine thousand, six hundred ninety-six".