1013193113 has 2 divisors, whose sum is σ = 1013193114. Its totient is φ = 1013193112.

The previous prime is 1013193109. The next prime is 1013193131. The reversal of 1013193113 is 3113913101.

Together with next prime (1013193131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 533933449 + 479259664 = 23107^2 + 21892^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013193113 - 2² = 1013193109 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013193413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506596556 + 506596557.

It is an arithmetic number, because the mean of its divisors is an integer number (506596557).

Almost surely, 2^1013193113 is an apocalyptic number.

It is an amenable number.

1013193113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013193113 is an equidigital number, since it uses as much as digits as its factorization.

1013193113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 1013193113 is about 31830.6945101737. The cubic root of 1013193113 is about 1004.3785050463.

The spelling of 1013193113 in words is "one billion, thirteen million, one hundred ninety-three thousand, one hundred thirteen".