2113148331 has 80 divisors (see below), whose sum is σ = 3841643520. Its totient is φ = 1130008320.

The previous prime is 2113148287. The next prime is 2113148333. The reversal of 2113148331 is 1338413112.

2113148331 is a `hidden beast` number, since 2 + 11 + 314 + 8 + 331 = 666.

It is not a de Polignac number, because 2113148331 - 2⁷ = 2113148203 is a prime.

It is a super-2 number, since 2×2113148331² = 8930791737616171122, 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 = 2113148295 and 2113148304.

It is not an unprimeable number, because it can be changed into a prime (2113148333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2033310 + ... + 2034348.

It is an arithmetic number, because the mean of its divisors is an integer number (48020544).

Almost surely, 2^2113148331 is an apocalyptic number.

2113148331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113148331 is a deficient number, since it is larger than the sum of its proper divisors (1728495189).

2113148331 is a wasteful number, since it uses less digits than its factorization.

2113148331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2113148331 is about 45968.9931475555. The cubic root of 2113148331 is about 1283.2462221338.

The spelling of 2113148331 in words is "two billion, one hundred thirteen million, one hundred forty-eight thousand, three hundred thirty-one".