331002330401001 has 16 divisors (see below), whose sum is σ = 504390413656448. Its totient is φ = 189141972480000.

The previous prime is 331002330400979. The next prime is 331002330401117. The reversal of 331002330401001 is 100104033200133.

It is not a de Polignac number, because 331002330401001 - 2¹⁰ = 331002330399977 is a prime.

It is a super-3 number, since 3×331002330401001³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331002330401401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90511000 + ... + 94097001.

It is an arithmetic number, because the mean of its divisors is an integer number (31524400853528).

Almost surely, 2^{331002330401001} is an apocalyptic number.

It is an amenable number.

331002330401001 is a deficient number, since it is larger than the sum of its proper divisors (173388083255447).

331002330401001 is a wasteful number, since it uses less digits than its factorization.

331002330401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184693392.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 331002330401001 its reverse (100104033200133), we get a palindrome (431106363601134).

The spelling of 331002330401001 in words is "three hundred thirty-one trillion, two billion, three hundred thirty million, four hundred one thousand, one".