101312232000 has 448 divisors, whose sum is σ = 386327026176. Its totient is φ = 22914662400.

The previous prime is 101312231981. The next prime is 101312232001. The reversal of 101312232000 is 232213101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101312232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16292892 + ... + 16299108.

It is an arithmetic number, because the mean of its divisors is an integer number (862337112).

Almost surely, 2^101312232000 is an apocalyptic number.

101312232000 is a gapful number since it is divisible by the number (10) 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 101312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193163513088).

101312232000 is an abundant number, since it is smaller than the sum of its proper divisors (285014794176).

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

101312232000 is an equidigital number, since it uses as much as digits as its factorization.

101312232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101312232000 its reverse (232213101), we get a palindrome (101544445101).

The spelling of 101312232000 in words is "one hundred one billion, three hundred twelve million, two hundred thirty-two thousand".