1331031013 has 8 divisors (see below), whose sum is σ = 1438999128. Its totient is φ = 1223860224.

The previous prime is 1331031001. The next prime is 1331031043. The reversal of 1331031013 is 3101301331.

It can be written as a sum of positive squares in 4 ways, for example, as 356529924 + 974501089 = 18882^2 + 31217^2 .

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 1331031013 - 2¹³ = 1331022821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331031043) 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, 195856 + ... + 202537.

It is an arithmetic number, because the mean of its divisors is an integer number (179874891).

Almost surely, 2^1331031013 is an apocalyptic number.

1331031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331031013 is a deficient number, since it is larger than the sum of its proper divisors (107968115).

1331031013 is a wasteful number, since it uses less digits than its factorization.

1331031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398663.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1331031013 is about 36483.2977264940. The cubic root of 1331031013 is about 1100.0085434598.

Adding to 1331031013 its reverse (3101301331), we get a palindrome (4432332344).

The spelling of 1331031013 in words is "one billion, three hundred thirty-one million, thirty-one thousand, thirteen".