113313030001000 has 192 divisors, whose sum is σ = 284159889964080. Its totient is φ = 42281497395200.

The previous prime is 113313030000979. The next prime is 113313030001007. The reversal of 113313030001000 is 100030313311.

It can be written as a sum of positive squares in 24 ways, for example, as 19302824676004 + 94010205324996 = 4393498^2 + 9695886^2 .

It is not an unprimeable number, because it can be changed into a prime (113313030001007) 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, 30922104 + ... + 34391896.

Almost surely, 2^{113313030001000} is an apocalyptic number.

113313030001000 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 113313030001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142079944982040).

113313030001000 is an abundant number, since it is smaller than the sum of its proper divisors (170846859963080).

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

113313030001000 is a wasteful number, since it uses less digits than its factorization.

113313030001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469961 (or 3469930 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 113313030001000 its reverse (100030313311), we get a palindrome (113413060314311).

The spelling of 113313030001000 in words is "one hundred thirteen trillion, three hundred thirteen billion, thirty million, one thousand".