2032122312013 has 16 divisors (see below), whose sum is σ = 2209998377520. Its totient is φ = 1860737135616.

The previous prime is 2032122312007. The next prime is 2032122312019. The reversal of 2032122312013 is 3102132212302.

It is an interprime number because it is at equal distance from previous prime (2032122312007) and next prime (2032122312019).

It can be written as a sum of positive squares in 8 ways, for example, as 723610526409 + 1308511785604 = 850653^2 + 1143902^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032122312013 - 2³³ = 2023532377421 is a prime.

It is a super-2 number, since 2×2032122312013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032122312019) 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, 7677643 + ... + 7937911.

It is an arithmetic number, because the mean of its divisors is an integer number (138124898595).

Almost surely, 2^{2032122312013} is an apocalyptic number.

It is an amenable number.

2032122312013 is a deficient number, since it is larger than the sum of its proper divisors (177876065507).

2032122312013 is a wasteful number, since it uses less digits than its factorization.

2032122312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272736.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2032122312013 its reverse (3102132212302), we get a palindrome (5134254524315).

The spelling of 2032122312013 in words is "two trillion, thirty-two billion, one hundred twenty-two million, three hundred twelve thousand, thirteen".