101333132320 has 96 divisors (see below), whose sum is σ = 282425342976. Its totient is φ = 33622041600.

The previous prime is 101333132317. The next prime is 101333132323. The reversal of 101333132320 is 23231333101.

It is an interprime number because it is at equal distance from previous prime (101333132317) and next prime (101333132323).

It is a junction number, because it is equal to n+sod(n) for n = 101333132291 and 101333132300.

It is not an unprimeable number, because it can be changed into a prime (101333132323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1424571 + ... + 1494010.

It is an arithmetic number, because the mean of its divisors is an integer number (2941930656).

Almost surely, 2^101333132320 is an apocalyptic number.

101333132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101333132320 is an abundant number, since it is smaller than the sum of its proper divisors (181092210656).

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

101333132320 is a wasteful number, since it uses less digits than its factorization.

101333132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918634 (or 2918626 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 101333132320 its reverse (23231333101), we get a palindrome (124564465421).

The spelling of 101333132320 in words is "one hundred one billion, three hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".