10201323132000 has 3456 divisors, whose sum is σ = 50862014356608. Its totient is φ = 1902071808000.

The previous prime is 10201323131983. The next prime is 10201323132001. The reversal of 10201323132000 is 23132310201.

10201323132000 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 323 + 1 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201323132001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9333323454 + ... + 9333324546.

It is an arithmetic number, because the mean of its divisors is an integer number (14717018043).

Almost surely, 2^{10201323132000} is an apocalyptic number.

10201323132000 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 10201323132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431007178304).

10201323132000 is an abundant number, since it is smaller than the sum of its proper divisors (40660691224608).

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

10201323132000 is a wasteful number, since it uses less digits than its factorization.

10201323132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10201323132000 its reverse (23132310201), we get a palindrome (10224455442201).

The spelling of 10201323132000 in words is "ten trillion, two hundred one billion, three hundred twenty-three million, one hundred thirty-two thousand".