2731631527013 has 16 divisors (see below), whose sum is σ = 2864006455296. Its totient is φ = 2600397399600.

The previous prime is 2731631526979. The next prime is 2731631527021. The reversal of 2731631527013 is 3107251361372.

It is a cyclic number.

It is not a de Polignac number, because 2731631527013 - 2¹⁰ = 2731631525989 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 (2731631527063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18117488 + ... + 18267638.

It is an arithmetic number, because the mean of its divisors is an integer number (179000403456).

Almost surely, 2^{2731631527013} is an apocalyptic number.

2731631527013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2731631527013 is a deficient number, since it is larger than the sum of its proper divisors (132374928283).

2731631527013 is a wasteful number, since it uses less digits than its factorization.

2731631527013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153944.

The product of its (nonzero) digits is 158760, while the sum is 41.

Adding to 2731631527013 its reverse (3107251361372), we get a palindrome (5838882888385).

The spelling of 2731631527013 in words is "two trillion, seven hundred thirty-one billion, six hundred thirty-one million, five hundred twenty-seven thousand, thirteen".