20131231101401 has 6 divisors (see below), whose sum is σ = 23417962709850. Its totient is φ = 17255340944016.

The previous prime is 20131231101391. The next prime is 20131231101431. The reversal of 20131231101401 is 10410113213102.

It can be written as a sum of positive squares in only one way, i.e., 12812712865225 + 7318518236176 = 3579485^2 + 2705276^2 .

It is not a de Polignac number, because 20131231101401 - 2⁶ = 20131231101337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20131231101431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205420725476 + ... + 205420725573.

It is an arithmetic number, because the mean of its divisors is an integer number (3902993784975).

Almost surely, 2^{20131231101401} is an apocalyptic number.

It is an amenable number.

20131231101401 is a deficient number, since it is larger than the sum of its proper divisors (3286731608449).

20131231101401 is an equidigital number, since it uses as much as digits as its factorization.

20131231101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410841451063 (or 410841451056 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20131231101401 its reverse (10410113213102), we get a palindrome (30541344314503).

The spelling of 20131231101401 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred one thousand, four hundred one".