213001012013 has 2 divisors, whose sum is σ = 213001012014. Its totient is φ = 213001012012.

The previous prime is 213001011983. The next prime is 213001012019. The reversal of 213001012013 is 310210100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151257210724 + 61743801289 = 388918^2 + 248483^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001012013 - 2³² = 208706044717 is a prime.

It is a super-2 number, since 2×213001012013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213001012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500506006 + 106500506007.

It is an arithmetic number, because the mean of its divisors is an integer number (106500506007).

Almost surely, 2^213001012013 is an apocalyptic number.

It is an amenable number.

213001012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001012013 is an equidigital number, since it uses as much as digits as its factorization.

213001012013 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 213001012013 its reverse (310210100312), we get a palindrome (523211112325).

The spelling of 213001012013 in words is "two hundred thirteen billion, one million, twelve thousand, thirteen".