11353133315052 has 120 divisors (see below), whose sum is σ = 30390505589136. Its totient is φ = 3693818443392.

The previous prime is 11353133314889. The next prime is 11353133315053. The reversal of 11353133315052 is 25051333135311.

11353133315052 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 313 + 331 + 5 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11353133314998 and 11353133315016.

It is not an unprimeable number, because it can be changed into a prime (11353133315053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19962778 + ... + 20523614.

Almost surely, 2^{11353133315052} is an apocalyptic number.

11353133315052 is a gapful number since it is divisible by the number (12) 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 11353133315052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195252794568).

11353133315052 is an abundant number, since it is smaller than the sum of its proper divisors (19037372274084).

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

11353133315052 is a wasteful number, since it uses less digits than its factorization.

11353133315052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562349 (or 562338 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The spelling of 11353133315052 in words is "eleven trillion, three hundred fifty-three billion, one hundred thirty-three million, three hundred fifteen thousand, fifty-two".