2131440412013 has 16 divisors (see below), whose sum is σ = 2404821560832. Its totient is φ = 1871568192000.

The previous prime is 2131440411959. The next prime is 2131440412063. The reversal of 2131440412013 is 3102140441312.

It is a cyclic number.

It is not a de Polignac number, because 2131440412013 - 2³⁴ = 2114260542829 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 (2131440412063) 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, 5820956 + ... + 6176277.

It is an arithmetic number, because the mean of its divisors is an integer number (150301347552).

Almost surely, 2^{2131440412013} is an apocalyptic number.

It is an amenable number.

2131440412013 is a deficient number, since it is larger than the sum of its proper divisors (273381148819).

2131440412013 is a wasteful number, since it uses less digits than its factorization.

2131440412013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997796.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 2131440412013 its reverse (3102140441312), we get a palindrome (5233580853325).

The spelling of 2131440412013 in words is "two trillion, one hundred thirty-one billion, four hundred forty million, four hundred twelve thousand, thirteen".