129313107 has 144 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 59875200.

The previous prime is 129313103. The next prime is 129313111. The reversal of 129313107 is 701313921.

It is an interprime number because it is at equal distance from previous prime (129313103) and next prime (129313111).

It is not a de Polignac number, because 129313107 - 2² = 129313103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129313103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2119857 + ... + 2119917.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^129313107 is an apocalyptic number.

129313107 is an abundant number, since it is smaller than the sum of its proper divisors (135312813).

129313107 is a wasteful number, since it uses less digits than its factorization.

129313107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 129313107 is about 11371.5921048902. The cubic root of 129313107 is about 505.6859052007.

It can be divided in two parts, 1293 and 13107, that added together give a square (14400 = 120²).

The spelling of 129313107 in words is "one hundred twenty-nine million, three hundred thirteen thousand, one hundred seven".