113301011213 has 16 divisors (see below), whose sum is σ = 122198143536. Its totient is φ = 104429982720.

The previous prime is 113301011113. The next prime is 113301011279. The reversal of 113301011213 is 312110103311.

It can be written as a sum of positive squares in 8 ways, for example, as 77775169924 + 35525841289 = 278882^2 + 188483^2 .

It is a cyclic number.

It is not a de Polignac number, because 113301011213 - 2¹⁰ = 113301010189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113301011191 and 113301011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301011113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47584283 + ... + 47586663.

It is an arithmetic number, because the mean of its divisors is an integer number (7637383971).

Almost surely, 2^113301011213 is an apocalyptic number.

113301011213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113301011213 is a deficient number, since it is larger than the sum of its proper divisors (8897132323).

113301011213 is a wasteful number, since it uses less digits than its factorization.

113301011213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 113301011213 its reverse (312110103311), we get a palindrome (425411114524).

The spelling of 113301011213 in words is "one hundred thirteen billion, three hundred one million, eleven thousand, two hundred thirteen".