12533126323100 has 36 divisors (see below), whose sum is σ = 27197078416200. Its totient is φ = 5013214714560.

The previous prime is 12533126323093. The next prime is 12533126323103. The reversal of 12533126323100 is 132362133521.

12533126323100 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 2×12533126323100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533126323103) 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, 17005046 + ... + 17726754.

It is an arithmetic number, because the mean of its divisors is an integer number (755474400450).

Almost surely, 2^{12533126323100} is an apocalyptic number.

12533126323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12533126323100 is an abundant number, since it is smaller than the sum of its proper divisors (14663952093100).

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

12533126323100 is a wasteful number, since it uses less digits than its factorization.

12533126323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895382 (or 895375 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 12533126323100 its reverse (132362133521), we get a palindrome (12665488456621).

The spelling of 12533126323100 in words is "twelve trillion, five hundred thirty-three billion, one hundred twenty-six million, three hundred twenty-three thousand, one hundred".