23132013123100 has 432 divisors, whose sum is σ = 64201103366400. Its totient is φ = 7065712926720.

The previous prime is 23132013123097. The next prime is 23132013123133. The reversal of 23132013123100 is 132131023132.

It is a super-2 number, since 2×23132013123100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7791178416 + ... + 7791181384.

It is an arithmetic number, because the mean of its divisors is an integer number (148613665200).

Almost surely, 2^{23132013123100} is an apocalyptic number.

23132013123100 is a gapful number since it is divisible by the number (20) 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 23132013123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32100551683200).

23132013123100 is an abundant number, since it is smaller than the sum of its proper divisors (41069090243300).

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

23132013123100 is a wasteful number, since it uses less digits than its factorization.

23132013123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 23132013123100 its reverse (132131023132), we get a palindrome (23264144146232).

The spelling of 23132013123100 in words is "twenty-three trillion, one hundred thirty-two billion, thirteen million, one hundred twenty-three thousand, one hundred".