109314213129 has 81 divisors (see below), whose sum is σ = 178453615431. Its totient is φ = 64432589760.

The previous prime is 109314213097. The next prime is 109314213131. The reversal of 109314213129 is 921312413901.

It is a happy number.

The square root of 109314213129 is 330627.

It is a perfect power (a square), and thus also a powerful number.

109314213129 is a `hidden beast` number, since 1 + 0 + 9 + 314 + 21 + 312 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22199510025 + 87114703104 = 148995^2 + 295152^2 .

It is not a de Polignac number, because 109314213129 - 2⁵ = 109314213097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109314213093 and 109314213102.

It is not an unprimeable number, because it can be changed into a prime (109314213829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 469159597 + ... + 469159829.

Almost surely, 2^109314213129 is an apocalyptic number.

109314213129 is the 330627-th square number.

109314213129 is the 165314-th centered octagonal number.

It is an amenable number.

109314213129 is a deficient number, since it is larger than the sum of its proper divisors (69139402302).

109314213129 is an equidigital number, since it uses as much as digits as its factorization.

109314213129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 109314213129 by its sum of digits (36), we get a square (3935311672644 = 1983762²).

The spelling of 109314213129 in words is "one hundred nine billion, three hundred fourteen million, two hundred thirteen thousand, one hundred twenty-nine".