113312000013331 has 32 divisors (see below), whose sum is σ = 131211409829760. Its totient is φ = 95846986368000.

The previous prime is 113312000013319. The next prime is 113312000013361. The reversal of 113312000013331 is 133310000213311.

It is not a de Polignac number, because 113312000013331 - 2²⁹ = 113311463142419 is a prime.

It is a super-2 number, since 2×113312000013331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113312000013361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1963477705 + ... + 1963535413.

It is an arithmetic number, because the mean of its divisors is an integer number (4100356557180).

Almost surely, 2^{113312000013331} is an apocalyptic number.

113312000013331 is a deficient number, since it is larger than the sum of its proper divisors (17899409816429).

113312000013331 is a wasteful number, since it uses less digits than its factorization.

113312000013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66895.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113312000013331 its reverse (133310000213311), we get a palindrome (246622000226642).

The spelling of 113312000013331 in words is "one hundred thirteen trillion, three hundred twelve billion, thirteen thousand, three hundred thirty-one".