113188202010 has 384 divisors, whose sum is σ = 366346955520. Its totient is φ = 24840400896.

The previous prime is 113188201957. The next prime is 113188202041. The reversal of 113188202010 is 10202881311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10198024 + ... + 10209116.

It is an arithmetic number, because the mean of its divisors is an integer number (954028530).

Almost surely, 2^113188202010 is an apocalyptic number.

113188202010 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 113188202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183173477760).

113188202010 is an abundant number, since it is smaller than the sum of its proper divisors (253158753510).

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

113188202010 is a wasteful number, since it uses less digits than its factorization.

113188202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 113188202010 in words is "one hundred thirteen billion, one hundred eighty-eight million, two hundred two thousand, ten".