101133321300 has 432 divisors, whose sum is σ = 372197052864. Its totient is φ = 22694400000.

The previous prime is 101133321287. The next prime is 101133321301. The reversal of 101133321300 is 3123331101.

It is a happy number.

101133321300 is a `hidden beast` number, since 1 + 0 + 11 + 33 + 321 + 300 = 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 (101133321301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10261375 + ... + 10271225.

It is an arithmetic number, because the mean of its divisors is an integer number (861567252).

Almost surely, 2^101133321300 is an apocalyptic number.

101133321300 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 101133321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186098526432).

101133321300 is an abundant number, since it is smaller than the sum of its proper divisors (271063731564).

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

101133321300 is a wasteful number, since it uses less digits than its factorization.

101133321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101133321300 its reverse (3123331101), we get a palindrome (104256652401).

The spelling of 101133321300 in words is "one hundred one billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred".