1813948101 has 48 divisors (see below), whose sum is σ = 3164858880. Its totient is φ = 1036480536.

The previous prime is 1813948079. The next prime is 1813948109. The reversal of 1813948101 is 1018493181.

It is not a de Polignac number, because 1813948101 - 2¹³ = 1813939909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813948109) 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, 98700 + ... + 115626.

It is an arithmetic number, because the mean of its divisors is an integer number (65934560).

Almost surely, 2^1813948101 is an apocalyptic number.

It is an amenable number.

1813948101 is a deficient number, since it is larger than the sum of its proper divisors (1350910779).

1813948101 is an frugal number, since it uses more digits than its factorization.

1813948101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1813948101 is about 42590.4696029523. The cubic root of 1813948101 is about 1219.5743612830.

The spelling of 1813948101 in words is "one billion, eight hundred thirteen million, nine hundred forty-eight thousand, one hundred one".