101321131300 has 36 divisors (see below), whose sum is σ = 220124797396. Its totient is φ = 40480905600.

The previous prime is 101321131229. The next prime is 101321131343. The reversal of 101321131300 is 3131123101.

It can be written as a sum of positive squares in 6 ways, for example, as 50704230976 + 50616900324 = 225176^2 + 224982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508611 + ... + 679210.

Almost surely, 2^101321131300 is an apocalyptic number.

101321131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321131300 is an abundant number, since it is smaller than the sum of its proper divisors (118803666096).

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

101321131300 is a wasteful number, since it uses less digits than its factorization.

101321131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188688 (or 1188681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101321131300 its reverse (3131123101), we get a palindrome (104452254401).

The spelling of 101321131300 in words is "one hundred one billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred".