331401033213001 has 16 divisors (see below), whose sum is σ = 331744823499600. Its totient is φ = 331057493065728.

The previous prime is 331401033212959. The next prime is 331401033213031. The reversal of 331401033213001 is 100312330104133.

It can be written as a sum of positive squares in 8 ways, for example, as 215667360000 + 331185365853001 = 464400^2 + 18198499^2 .

It is a cyclic number.

It is not a de Polignac number, because 331401033213001 - 2¹⁵ = 331401033180233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331401033213031) 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, 46175422525 + ... + 46175429701.

It is an arithmetic number, because the mean of its divisors is an integer number (20734051468725).

Almost surely, 2^{331401033213001} is an apocalyptic number.

It is an amenable number.

331401033213001 is a deficient number, since it is larger than the sum of its proper divisors (343790286599).

331401033213001 is a wasteful number, since it uses less digits than its factorization.

331401033213001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18828.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 331401033213001 its reverse (100312330104133), we get a palindrome (431713363317134).

The spelling of 331401033213001 in words is "three hundred thirty-one trillion, four hundred one billion, thirty-three million, two hundred thirteen thousand, one".