1102360113000 has 192 divisors, whose sum is σ = 3735099622800. Its totient is φ = 293242982400.

The previous prime is 1102360112957. The next prime is 1102360113047. The reversal of 1102360113000 is 3110632011.

1102360113000 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 360 + 1 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 448581136644 + 653778976356 = 669762^2 + 808566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3531264 + ... + 3830736.

Almost surely, 2^{1102360113000} is an apocalyptic number.

1102360113000 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 1102360113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867549811400).

1102360113000 is an abundant number, since it is smaller than the sum of its proper divisors (2632739509800).

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

1102360113000 is a wasteful number, since it uses less digits than its factorization.

1102360113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299909 (or 299892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1102360113000 its reverse (3110632011), we get a palindrome (1105470745011).

The spelling of 1102360113000 in words is "one trillion, one hundred two billion, three hundred sixty million, one hundred thirteen thousand".