113233010300190 has 384 divisors, whose sum is σ = 328619229120000. Its totient is φ = 26819641728000.

The previous prime is 113233010300161. The next prime is 113233010300191. The reversal of 113233010300190 is 91003010332311.

113233010300190 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 330 + 10 + 300 + 19 + 0 = 666.

It is a super-2 number, since 2×113233010300190² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233010300191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32361533061 + ... + 32361536559.

It is an arithmetic number, because the mean of its divisors is an integer number (855779242500).

Almost surely, 2^{113233010300190} is an apocalyptic number.

113233010300190 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 113233010300190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164309614560000).

113233010300190 is an abundant number, since it is smaller than the sum of its proper divisors (215386218819810).

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

113233010300190 is a wasteful number, since it uses less digits than its factorization.

113233010300190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 113233010300190 in words is "one hundred thirteen trillion, two hundred thirty-three billion, ten million, three hundred thousand, one hundred ninety".