20120413331993 has 16 divisors (see below), whose sum is σ = 21739392791760. Its totient is φ = 18511709642496.

The previous prime is 20120413331989. The next prime is 20120413332161. The reversal of 20120413331993 is 39913331402102.

It can be written as a sum of positive squares in 8 ways, for example, as 10094622784 + 20110318709209 = 100472^2 + 4484453^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120413331993 - 2² = 20120413331989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20120413331993.

It is not an unprimeable number, because it can be changed into a prime (20120413331983) 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, 3000671 + ... + 7017467.

It is an arithmetic number, because the mean of its divisors is an integer number (1358712049485).

Almost surely, 2^{20120413331993} is an apocalyptic number.

It is an amenable number.

20120413331993 is a deficient number, since it is larger than the sum of its proper divisors (1618979459767).

20120413331993 is a wasteful number, since it uses less digits than its factorization.

20120413331993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018076.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 20120413331993 in words is "twenty trillion, one hundred twenty billion, four hundred thirteen million, three hundred thirty-one thousand, nine hundred ninety-three".