331013020013 has 8 divisors (see below), whose sum is σ = 365170086456. Its totient is φ = 298098028800.

The previous prime is 331013020007. The next prime is 331013020021. The reversal of 331013020013 is 310020310133.

It can be written as a sum of positive squares in 4 ways, for example, as 19959190729 + 311053829284 = 141277^2 + 557722^2 .

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

It is not a de Polignac number, because 331013020013 - 2²² = 331008825709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331013019973 and 331013020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331013020003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310518248 + ... + 310519313.

It is an arithmetic number, because the mean of its divisors is an integer number (45646260807).

Almost surely, 2^331013020013 is an apocalyptic number.

It is an amenable number.

331013020013 is a deficient number, since it is larger than the sum of its proper divisors (34157066443).

331013020013 is a wasteful number, since it uses less digits than its factorization.

331013020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621037615.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 331013020013 its reverse (310020310133), we get a palindrome (641033330146).

The spelling of 331013020013 in words is "three hundred thirty-one billion, thirteen million, twenty thousand, thirteen".