23132444301300 has 144 divisors (see below), whose sum is σ = 67527984182400. Its totient is φ = 6113767587840.

The previous prime is 23132444301283. The next prime is 23132444301311. The reversal of 23132444301300 is 310344423132.

It is a happy number.

It is a super-4 number, since 4×23132444301300⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14589052 + ... + 16096748.

It is an arithmetic number, because the mean of its divisors is an integer number (468944334600).

Almost surely, 2^{23132444301300} is an apocalyptic number.

23132444301300 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 23132444301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33763992091200).

23132444301300 is an abundant number, since it is smaller than the sum of its proper divisors (44395539881100).

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

23132444301300 is a wasteful number, since it uses less digits than its factorization.

23132444301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508170 (or 1508163 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23132444301300 its reverse (310344423132), we get a palindrome (23442788724432).

The spelling of 23132444301300 in words is "twenty-three trillion, one hundred thirty-two billion, four hundred forty-four million, three hundred one thousand, three hundred".