823180131 has 16 divisors (see below), whose sum is σ = 1219968000. Its totient is φ = 548587944.

The previous prime is 823180129. The next prime is 823180133. The reversal of 823180131 is 131081328.

It is an interprime number because it is at equal distance from previous prime (823180129) and next prime (823180133).

It is not a de Polignac number, because 823180131 - 2¹ = 823180129 is a prime.

It is a super-2 number, since 2×823180131² = 1355251056146354322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 823180095 and 823180104.

It is not an unprimeable number, because it can be changed into a prime (823180133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142950 + ... + 148596.

It is an arithmetic number, because the mean of its divisors is an integer number (76248000).

Almost surely, 2^823180131 is an apocalyptic number.

823180131 is a deficient number, since it is larger than the sum of its proper divisors (396787869).

823180131 is a wasteful number, since it uses less digits than its factorization.

823180131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11055 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 823180131 is about 28691.1158897663. The cubic root of 823180131 is about 937.1985898258.

The spelling of 823180131 in words is "eight hundred twenty-three million, one hundred eighty thousand, one hundred thirty-one".