20121231013 has 8 divisors (see below), whose sum is σ = 22611149568. Its totient is φ = 17765902704.

The previous prime is 20121230981. The next prime is 20121231023. The reversal of 20121231013 is 31013212102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121231013 - 2⁵ = 20121230981 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 (20121231023) 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 7 ways as a sum of consecutive naturals, for example, 33647245 + ... + 33647842.

It is an arithmetic number, because the mean of its divisors is an integer number (2826393696).

Almost surely, 2^20121231013 is an apocalyptic number.

20121231013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20121231013 is a deficient number, since it is larger than the sum of its proper divisors (2489918555).

20121231013 is a wasteful number, since it uses less digits than its factorization.

20121231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67295123.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20121231013 its reverse (31013212102), we get a palindrome (51134443115).

The spelling of 20121231013 in words is "twenty billion, one hundred twenty-one million, two hundred thirty-one thousand, thirteen".