101331320201320 has 64 divisors (see below), whose sum is σ = 248744858256000. Its totient is φ = 36844415489280.

The previous prime is 101331320201263. The next prime is 101331320201327. The reversal of 101331320201320 is 23102023133101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101331320201291 and 101331320201300.

It is not an unprimeable number, because it can be changed into a prime (101331320201327) 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 15 ways as a sum of consecutive naturals, for example, 5562895 + ... + 15284254.

It is an arithmetic number, because the mean of its divisors is an integer number (3886638410250).

Almost surely, 2^{101331320201320} is an apocalyptic number.

101331320201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331320201320 is an abundant number, since it is smaller than the sum of its proper divisors (147413538054680).

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

101331320201320 is a wasteful number, since it uses less digits than its factorization.

101331320201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20858218 (or 20858214 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101331320201320 its reverse (23102023133101), we get a palindrome (124433343334421).

The spelling of 101331320201320 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty million, two hundred one thousand, three hundred twenty".