101321313300 has 108 divisors (see below), whose sum is σ = 334301138080. Its totient is φ = 25596959040.

The previous prime is 101321313299. The next prime is 101321313337. The reversal of 101321313300 is 3313123101.

It is a happy number.

101321313300 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 313 + 30 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2945512 + ... + 2979711.

Almost surely, 2^101321313300 is an apocalyptic number.

101321313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321313300 is an abundant number, since it is smaller than the sum of its proper divisors (232979824780).

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

101321313300 is a wasteful number, since it uses less digits than its factorization.

101321313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925262 (or 5925252 counting only the distinct ones).

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

Adding to 101321313300 its reverse (3313123101), we get a palindrome (104634436401).

The spelling of 101321313300 in words is "one hundred one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred".