332000300100001 has 8 divisors (see below), whose sum is σ = 359100089463080. Its totient is φ = 305123554271232.

The previous prime is 332000300099989. The next prime is 332000300100013. The reversal of 332000300100001 is 100001003000233.

It is an interprime number because it is at equal distance from previous prime (332000300099989) and next prime (332000300100013).

It can be written as a sum of positive squares in 4 ways, for example, as 77164541392225 + 254835758707776 = 8784335^2 + 15963576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332000300100001 - 2¹¹ = 332000300097953 is a prime.

It is a super-2 number, since 2×332000300100001² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332000300100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55760880480 + ... + 55760886433.

It is an arithmetic number, because the mean of its divisors is an integer number (44887511182885).

Almost surely, 2^{332000300100001} is an apocalyptic number.

It is an amenable number.

332000300100001 is a deficient number, since it is larger than the sum of its proper divisors (27099789363079).

332000300100001 is a wasteful number, since it uses less digits than its factorization.

332000300100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111521767155.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 332000300100001 its reverse (100001003000233), we get a palindrome (432001303100234).

The spelling of 332000300100001 in words is "three hundred thirty-two trillion, three hundred million, one hundred thousand, one".