113002135040 has 80 divisors (see below), whose sum is σ = 273473090352. Its totient is φ = 44778307584.

The previous prime is 113002135039. The next prime is 113002135049. The reversal of 113002135040 is 40531200311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113002135049) 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 7 ways as a sum of consecutive naturals, for example, 67652 + ... + 480188.

Almost surely, 2^113002135040 is an apocalyptic number.

113002135040 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 113002135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136736545176).

113002135040 is an abundant number, since it is smaller than the sum of its proper divisors (160470955312).

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

113002135040 is an equidigital number, since it uses as much as digits as its factorization.

113002135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412667 (or 412651 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 113002135040 its reverse (40531200311), we get a palindrome (153533335351).

The spelling of 113002135040 in words is "one hundred thirteen billion, two million, one hundred thirty-five thousand, forty".