1020213013 has 2 divisors, whose sum is σ = 1020213014. Its totient is φ = 1020213012.

The previous prime is 1020212989. The next prime is 1020213023. The reversal of 1020213013 is 3103120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978313284 + 41899729 = 31278^2 + 6473^2 .

It is an emirp because it is prime and its reverse (3103120201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020213013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020212984 and 1020213002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020213023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510106506 + 510106507.

It is an arithmetic number, because the mean of its divisors is an integer number (510106507).

Almost surely, 2^1020213013 is an apocalyptic number.

It is an amenable number.

1020213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020213013 is an equidigital number, since it uses as much as digits as its factorization.

1020213013 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 13.

The square root of 1020213013 is about 31940.7735191244. The cubic root of 1020213013 is about 1006.6927777949.

Adding to 1020213013 its reverse (3103120201), we get a palindrome (4123333214).

The spelling of 1020213013 in words is "one billion, twenty million, two hundred thirteen thousand, thirteen".