11302135302000 has 320 divisors, whose sum is σ = 36735615341568. Its totient is φ = 2989317760000.

The previous prime is 11302135301959. The next prime is 11302135302013. The reversal of 11302135302000 is 20353120311.

11302135302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885404042 + ... + 2885407958.

Almost surely, 2^{11302135302000} is an apocalyptic number.

11302135302000 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 11302135302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367807670784).

11302135302000 is an abundant number, since it is smaller than the sum of its proper divisors (25433480039568).

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

11302135302000 is a wasteful number, since it uses less digits than its factorization.

11302135302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 11302135302000 its reverse (20353120311), we get a palindrome (11322488422311).

The spelling of 11302135302000 in words is "eleven trillion, three hundred two billion, one hundred thirty-five million, three hundred two thousand".