32120020010013 has 64 divisors (see below), whose sum is σ = 49870683555840. Its totient is φ = 18223702979328.

The previous prime is 32120020009997. The next prime is 32120020010017. The reversal of 32120020010013 is 31001002002123.

It is not a de Polignac number, because 32120020010013 - 2⁴ = 32120020009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32120020009974 and 32120020010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120020010017) 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 63 ways as a sum of consecutive naturals, for example, 14217870 + ... + 16321392.

It is an arithmetic number, because the mean of its divisors is an integer number (779229430560).

Almost surely, 2^{32120020010013} is an apocalyptic number.

It is an amenable number.

32120020010013 is a deficient number, since it is larger than the sum of its proper divisors (17750663545827).

32120020010013 is a wasteful number, since it uses less digits than its factorization.

32120020010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104178.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32120020010013 its reverse (31001002002123), we get a palindrome (63121022012136).

The spelling of 32120020010013 in words is "thirty-two trillion, one hundred twenty billion, twenty million, ten thousand, thirteen".