10111122013 has 2 divisors, whose sum is σ = 10111122014. Its totient is φ = 10111122012.

The previous prime is 10111121957. The next prime is 10111122017. The reversal of 10111122013 is 31022111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9658368729 + 452753284 = 98277^2 + 21278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111121984 and 10111122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111122017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055561006 + 5055561007.

It is an arithmetic number, because the mean of its divisors is an integer number (5055561007).

Almost surely, 2^10111122013 is an apocalyptic number.

It is an amenable number.

10111122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111122013 is an equidigital number, since it uses as much as digits as its factorization.

10111122013 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 13.

Adding to 10111122013 its reverse (31022111101), we get a palindrome (41133233114).

The spelling of 10111122013 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, thirteen".