20121013313 has 2 divisors, whose sum is σ = 20121013314. Its totient is φ = 20121013312.

The previous prime is 20121013279. The next prime is 20121013331. The reversal of 20121013313 is 31331012102.

Together with next prime (20121013331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17505406864 + 2615606449 = 132308^2 + 51143^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121013313 - 2¹⁸ = 20120751169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121013291 and 20121013300.

It is not a weakly prime, because it can be changed into another prime (20121013373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060506656 + 10060506657.

It is an arithmetic number, because the mean of its divisors is an integer number (10060506657).

Almost surely, 2^20121013313 is an apocalyptic number.

It is an amenable number.

20121013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121013313 is an equidigital number, since it uses as much as digits as its factorization.

20121013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20121013313 its reverse (31331012102), we get a palindrome (51452025415).

The spelling of 20121013313 in words is "twenty billion, one hundred twenty-one million, thirteen thousand, three hundred thirteen".