2013101401 has 2 divisors, whose sum is σ = 2013101402. Its totient is φ = 2013101400.

The previous prime is 2013101399. The next prime is 2013101407. The reversal of 2013101401 is 1041013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1975891401 + 37210000 = 44451^2 + 6100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013101401 - 2¹ = 2013101399 is a prime.

Together with 2013101399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2013101407) 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 as a sum of consecutive naturals, namely, 1006550700 + 1006550701.

It is an arithmetic number, because the mean of its divisors is an integer number (1006550701).

Almost surely, 2^2013101401 is an apocalyptic number.

It is an amenable number.

2013101401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013101401 is an equidigital number, since it uses as much as digits as its factorization.

2013101401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2013101401 is about 44867.5985651115. The cubic root of 2013101401 is about 1262.6661862208. Note that the first 3 decimals are identical.

Adding to 2013101401 its reverse (1041013102), we get a palindrome (3054114503).

The spelling of 2013101401 in words is "two billion, thirteen million, one hundred one thousand, four hundred one".