101223311033312 has 192 divisors, whose sum is σ = 219382036070400. Its totient is φ = 45694389227520.

The previous prime is 101223311033311. The next prime is 101223311033329. The reversal of 101223311033312 is 213330113322101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223311033311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265773553 + ... + 1265853519.

It is an arithmetic number, because the mean of its divisors is an integer number (1142614771200).

Almost surely, 2^{101223311033312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101223311033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109691018035200).

101223311033312 is an abundant number, since it is smaller than the sum of its proper divisors (118158725037088).

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

101223311033312 is a wasteful number, since it uses less digits than its factorization.

101223311033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80449 (or 80441 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 101223311033312 its reverse (213330113322101), we get a palindrome (314553424355413).

The spelling of 101223311033312 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred eleven million, thirty-three thousand, three hundred twelve".