113315121630 has 192 divisors, whose sum is σ = 328704816960. Its totient is φ = 26915438592.

The previous prime is 113315121629. The next prime is 113315121643. The reversal of 113315121630 is 36121513311.

It is a happy number.

113315121630 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 5 + 1 + 21 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113315121594 and 113315121603.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49330642 + ... + 49332938.

It is an arithmetic number, because the mean of its divisors is an integer number (1712004255).

Almost surely, 2^113315121630 is an apocalyptic number.

113315121630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113315121630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164352408480).

113315121630 is an abundant number, since it is smaller than the sum of its proper divisors (215389695330).

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

113315121630 is a wasteful number, since it uses less digits than its factorization.

113315121630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 113315121630 its reverse (36121513311), we get a palindrome (149436634941).

The spelling of 113315121630 in words is "one hundred thirteen billion, three hundred fifteen million, one hundred twenty-one thousand, six hundred thirty".