101132202313020 has 96 divisors (see below), whose sum is σ = 285834754953216. Its totient is φ = 26715854880000.

The previous prime is 101132202313003. The next prime is 101132202313027. The reversal of 101132202313020 is 20313202231101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132202313027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13099356 + ... + 19335395.

It is an arithmetic number, because the mean of its divisors is an integer number (2977445364096).

Almost surely, 2^{101132202313020} is an apocalyptic number.

101132202313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132202313020 is an abundant number, since it is smaller than the sum of its proper divisors (184702552640196).

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

101132202313020 is a wasteful number, since it uses less digits than its factorization.

101132202313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32435251 (or 32435249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101132202313020 its reverse (20313202231101), we get a palindrome (121445404544121).

The spelling of 101132202313020 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred two million, three hundred thirteen thousand, twenty".