101303131300 has 72 divisors (see below), whose sum is σ = 253719385920. Its totient is φ = 34388592000.

The previous prime is 101303131261. The next prime is 101303131301. The reversal of 101303131300 is 3131303101.

It is a super-2 number, since 2×101303131300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303131301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 645730 + ... + 787129.

It is an arithmetic number, because the mean of its divisors is an integer number (3523880360).

Almost surely, 2^101303131300 is an apocalyptic number.

101303131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303131300 is an abundant number, since it is smaller than the sum of its proper divisors (152416254620).

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

101303131300 is a wasteful number, since it uses less digits than its factorization.

101303131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432981 (or 1432974 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 101303131300 its reverse (3131303101), we get a palindrome (104434434401).

The spelling of 101303131300 in words is "one hundred one billion, three hundred three million, one hundred thirty-one thousand, three hundred".