1813113120 has 576 divisors, whose sum is σ = 7366754304. Its totient is φ = 366612480.

The previous prime is 1813113119. The next prime is 1813113173. The reversal of 1813113120 is 213113181.

It is a happy number.

It is a super-2 number, since 2×1813113120² = 6574758371832268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17602989 + ... + 17603091.

It is an arithmetic number, because the mean of its divisors is an integer number (12789504).

Almost surely, 2^1813113120 is an apocalyptic number.

1813113120 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 1813113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683377152).

1813113120 is an abundant number, since it is smaller than the sum of its proper divisors (5553641184).

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

1813113120 is a wasteful number, since it uses less digits than its factorization.

1813113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1813113120 is about 42580.6660351855. Note that the first 3 decimals coincide. The cubic root of 1813113120 is about 1219.3872045672.

The spelling of 1813113120 in words is "one billion, eight hundred thirteen million, one hundred thirteen thousand, one hundred twenty".