101313003213300 has 288 divisors, whose sum is σ = 299592637344000. Its totient is φ = 26429853450240.

The previous prime is 101313003213281. The next prime is 101313003213311. The reversal of 101313003213300 is 3312300313101.

It is a super-2 number, since 2×101313003213300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813611844 + ... + 813736356.

It is an arithmetic number, because the mean of its divisors is an integer number (1040252213000).

Almost surely, 2^{101313003213300} is an apocalyptic number.

101313003213300 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 101313003213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796318672000).

101313003213300 is an abundant number, since it is smaller than the sum of its proper divisors (198279634130700).

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

101313003213300 is a wasteful number, since it uses less digits than its factorization.

101313003213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124955 (or 124948 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101313003213300 its reverse (3312300313101), we get a palindrome (104625303526401).

The spelling of 101313003213300 in words is "one hundred one trillion, three hundred thirteen billion, three million, two hundred thirteen thousand, three hundred".