113201319 has 64 divisors (see below), whose sum is σ = 196070400. Its totient is φ = 57576960.

The previous prime is 113201303. The next prime is 113201329. The reversal of 113201319 is 913102311.

113201319 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 113201319 - 2⁴ = 113201303 is a prime.

It is a super-2 number, since 2×113201319² = 25629077246679522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113201295 and 113201304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826219 + ... + 826355.

It is an arithmetic number, because the mean of its divisors is an integer number (3063600).

Almost surely, 2^113201319 is an apocalyptic number.

113201319 is a deficient number, since it is larger than the sum of its proper divisors (82869081).

113201319 is a wasteful number, since it uses less digits than its factorization.

113201319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 113201319 is about 10639.6108481467. The cubic root of 113201319 is about 483.7457498842.

The spelling of 113201319 in words is "one hundred thirteen million, two hundred one thousand, three hundred nineteen".