20131213001 has 2 divisors, whose sum is σ = 20131213002. Its totient is φ = 20131213000.

The previous prime is 20131212973. The next prime is 20131213009. The reversal of 20131213001 is 10031213102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14343655225 + 5787557776 = 119765^2 + 76076^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131213001 - 2³⁴ = 2951343817 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131213009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065606500 + 10065606501.

It is an arithmetic number, because the mean of its divisors is an integer number (10065606501).

Almost surely, 2^20131213001 is an apocalyptic number.

It is an amenable number.

20131213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131213001 is an equidigital number, since it uses as much as digits as its factorization.

20131213001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20131213001 its reverse (10031213102), we get a palindrome (30162426103).

The spelling of 20131213001 in words is "twenty billion, one hundred thirty-one million, two hundred thirteen thousand, one".