113213201312440 has 256 divisors, whose sum is σ = 273864986496000. Its totient is φ = 41993696194560.

The previous prime is 113213201312437. The next prime is 113213201312447. The reversal of 113213201312440 is 44213102312311.

It is a super-2 number, since 2×113213201312440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113213201312399 and 113213201312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213201312447) 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, 28814760396 + ... + 28814764324.

It is an arithmetic number, because the mean of its divisors is an integer number (1069785103500).

Almost surely, 2^{113213201312440} is an apocalyptic number.

113213201312440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113213201312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136932493248000).

113213201312440 is an abundant number, since it is smaller than the sum of its proper divisors (160651785183560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113213201312440 is a wasteful number, since it uses less digits than its factorization.

113213201312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 113213201312440 its reverse (44213102312311), we get a palindrome (157426303624751).

The spelling of 113213201312440 in words is "one hundred thirteen trillion, two hundred thirteen billion, two hundred one million, three hundred twelve thousand, four hundred forty".