130001100345 has 24 divisors (see below), whose sum is σ = 230831225352. Its totient is φ = 67642848000.

The previous prime is 130001100293. The next prime is 130001100347. The reversal of 130001100345 is 543001100031.

It can be written as a sum of positive squares in 4 ways, for example, as 8788500009 + 121212600336 = 93747^2 + 348156^2 .

It is not a de Polignac number, because 130001100345 - 2²⁵ = 129967545913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130001100347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35228806 + ... + 35232495.

It is an arithmetic number, because the mean of its divisors is an integer number (9617967723).

Almost surely, 2^130001100345 is an apocalyptic number.

130001100345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130001100345 is a deficient number, since it is larger than the sum of its proper divisors (100830125007).

130001100345 is a wasteful number, since it uses less digits than its factorization.

130001100345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70461353 (or 70461350 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 130001100345 its reverse (543001100031), we get a palindrome (673002200376).

The spelling of 130001100345 in words is "one hundred thirty billion, one million, one hundred thousand, three hundred forty-five".