32002131033213 has 128 divisors (see below), whose sum is σ = 48834135982080. Its totient is φ = 18466219296000.

The previous prime is 32002131033193. The next prime is 32002131033233. The reversal of 32002131033213 is 31233013120023.

It is an interprime number because it is at equal distance from previous prime (32002131033193) and next prime (32002131033233).

It is not a de Polignac number, because 32002131033213 - 2⁶ = 32002131033149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32002131033233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10293382503 + ... + 10293385611.

It is an arithmetic number, because the mean of its divisors is an integer number (381516687360).

Almost surely, 2^{32002131033213} is an apocalyptic number.

32002131033213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32002131033213 is a deficient number, since it is larger than the sum of its proper divisors (16832004948867).

32002131033213 is a wasteful number, since it uses less digits than its factorization.

32002131033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 32002131033213 its reverse (31233013120023), we get a palindrome (63235144153236).

The spelling of 32002131033213 in words is "thirty-two trillion, two billion, one hundred thirty-one million, thirty-three thousand, two hundred thirteen".