11213600301552 has 160 divisors (see below), whose sum is σ = 31805972858880. Its totient is φ = 3376192700160.

The previous prime is 11213600301521. The next prime is 11213600301559. The reversal of 11213600301552 is 25510300631211.

11213600301552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11213600301552³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213600301559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52522923 + ... + 52735989.

It is an arithmetic number, because the mean of its divisors is an integer number (198787330368).

Almost surely, 2^{11213600301552} is an apocalyptic number.

11213600301552 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 11213600301552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902986429440).

11213600301552 is an abundant number, since it is smaller than the sum of its proper divisors (20592372557328).

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

11213600301552 is a wasteful number, since it uses less digits than its factorization.

11213600301552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213731 (or 213725 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 11213600301552 its reverse (25510300631211), we get a palindrome (36723900932763).

The spelling of 11213600301552 in words is "eleven trillion, two hundred thirteen billion, six hundred million, three hundred one thousand, five hundred fifty-two".