113313123101 has 2 divisors, whose sum is σ = 113313123102. Its totient is φ = 113313123100.

The previous prime is 113313123097. The next prime is 113313123103. The reversal of 113313123101 is 101321313311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109742463076 + 3570660025 = 331274^2 + 59755^2 .

It is a cyclic number.

It is not a de Polignac number, because 113313123101 - 2² = 113313123097 is a prime.

Together with 113313123103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113313123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656561550 + 56656561551.

It is an arithmetic number, because the mean of its divisors is an integer number (56656561551).

Almost surely, 2^113313123101 is an apocalyptic number.

It is an amenable number.

113313123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313123101 is an equidigital number, since it uses as much as digits as its factorization.

113313123101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 113313123101 its reverse (101321313311), we get a palindrome (214634436412).

The spelling of 113313123101 in words is "one hundred thirteen billion, three hundred thirteen million, one hundred twenty-three thousand, one hundred one".