2013121001 has 2 divisors, whose sum is σ = 2013121002. Its totient is φ = 2013121000.

The previous prime is 2013120979. The next prime is 2013121009. The reversal of 2013121001 is 1001213102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1409927401 + 603193600 = 37549^2 + 24560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013121001 - 2²⁶ = 1946012137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013121009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006560500 + 1006560501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560501).

Almost surely, 2^2013121001 is an apocalyptic number.

It is an amenable number.

2013121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013121001 is an equidigital number, since it uses as much as digits as its factorization.

2013121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2013121001 is about 44867.8169850061. The cubic root of 2013121001 is about 1262.6702840731.

Adding to 2013121001 its reverse (1001213102), we get a palindrome (3014334103).

The spelling of 2013121001 in words is "two billion, thirteen million, one hundred twenty-one thousand, one".