11523142633100 has 36 divisors (see below), whose sum is σ = 28577393731824. Its totient is φ = 3950791759680.

The previous prime is 11523142633073. The next prime is 11523142633103. The reversal of 11523142633100 is 133624132511.

11523142633100 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-2 number, since 2×11523142633100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11523142633103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8230815467 + ... + 8230816866.

Almost surely, 2^{11523142633100} is an apocalyptic number.

11523142633100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11523142633100 is an abundant number, since it is smaller than the sum of its proper divisors (17054251098724).

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

11523142633100 is a wasteful number, since it uses less digits than its factorization.

11523142633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16461632354 (or 16461632347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 11523142633100 its reverse (133624132511), we get a palindrome (11656766765611).

The spelling of 11523142633100 in words is "eleven trillion, five hundred twenty-three billion, one hundred forty-two million, six hundred thirty-three thousand, one hundred".