101320303123332 has 36 divisors (see below), whose sum is σ = 256119038189196. Its totient is φ = 33772929647040.

The previous prime is 101320303123307. The next prime is 101320303123381. The reversal of 101320303123332 is 233321303023101.

101320303123332 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 303 + 1 + 23 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23492866139136 + 77827436984196 = 4846944^2 + 8821986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 101320303123296 and 101320303123305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18584043 + ... + 23409554.

Almost surely, 2^{101320303123332} is an apocalyptic number.

101320303123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101320303123332 is an abundant number, since it is smaller than the sum of its proper divisors (154798735065864).

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

101320303123332 is a wasteful number, since it uses less digits than its factorization.

101320303123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42060628 (or 42060623 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 101320303123332 its reverse (233321303023101), we get a palindrome (334641606146433).

The spelling of 101320303123332 in words is "one hundred one trillion, three hundred twenty billion, three hundred three million, one hundred twenty-three thousand, three hundred thirty-two".