113000311333 has 48 divisors (see below), whose sum is σ = 147046005120. Its totient is φ = 84549163392.

The previous prime is 113000311283. The next prime is 113000311339. The reversal of 113000311333 is 333113000311.

It is a happy number.

It is not a de Polignac number, because 113000311333 - 2²⁵ = 112966756901 is a prime.

It is a super-2 number, since 2×113000311333² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 113000311333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113000311339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20331991 + ... + 20337547.

It is an arithmetic number, because the mean of its divisors is an integer number (3063458440).

Almost surely, 2^113000311333 is an apocalyptic number.

113000311333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113000311333 is a deficient number, since it is larger than the sum of its proper divisors (34045693787).

113000311333 is a wasteful number, since it uses less digits than its factorization.

113000311333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 113000311333 its reverse (333113000311), we get a palindrome (446113311644).

The spelling of 113000311333 in words is "one hundred thirteen billion, three hundred eleven thousand, three hundred thirty-three".