101323133013300 has 288 divisors, whose sum is σ = 338707361341440. Its totient is φ = 23112678758400.

The previous prime is 101323133013251. The next prime is 101323133013307. The reversal of 101323133013300 is 3310331323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323133013307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233102767 + ... + 233537033.

It is an arithmetic number, because the mean of its divisors is an integer number (1176067226880).

Almost surely, 2^{101323133013300} is an apocalyptic number.

101323133013300 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 101323133013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169353680670720).

101323133013300 is an abundant number, since it is smaller than the sum of its proper divisors (237384228328140).

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

101323133013300 is a wasteful number, since it uses less digits than its factorization.

101323133013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438471 (or 438464 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101323133013300 its reverse (3310331323101), we get a palindrome (104633464336401).

The spelling of 101323133013300 in words is "one hundred one trillion, three hundred twenty-three billion, one hundred thirty-three million, thirteen thousand, three hundred".