113133311311331 has 8 divisors (see below), whose sum is σ = 114625454929920. Its totient is φ = 111642669602568.

The previous prime is 113133311311309. The next prime is 113133311311337. The reversal of 113133311311331 is 133113113331311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113133311311331 is a prime.

It is a super-2 number, since 2×113133311311331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113133311311294 and 113133311311303.

It is not an unprimeable number, because it can be changed into a prime (113133311311337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375325811 + ... + 375627116.

It is an arithmetic number, because the mean of its divisors is an integer number (14328181866240).

Almost surely, 2^{113133311311331} is an apocalyptic number.

113133311311331 is a deficient number, since it is larger than the sum of its proper divisors (1492143618589).

113133311311331 is an equidigital number, since it uses as much as digits as its factorization.

113133311311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750954913.

The product of its digits is 2187, while the sum is 29.

Adding to 113133311311331 its reverse (133113113331311), we get a palindrome (246246424642642).

The spelling of 113133311311331 in words is "one hundred thirteen trillion, one hundred thirty-three billion, three hundred eleven million, three hundred eleven thousand, three hundred thirty-one".